how could we develop space travel?

Answers

Answer 1
Suspended Animation, Fission-Fusion Propulsion, 2-D Space Landers, Solar System CubeSats

Related Questions

Ptolemy was important in the history of astronomy because he _________.
a.) was the first to believe that all orbits are perfect circles
b.) was the first to create a model of the solar system that placed the Sun rather than the Earth at the center
c.) developed a model of the solar system that made sufficiently accurate predictions of planetary positions to remain in use for many centuries
d.) developed the first scientific model of the universe

Answers

Ptolemy was important in the history of astronomy because he developed a model of the solar system that made sufficiently accurate predictions of planetary positions to remain in use for many centuries. Correct answer: letter C.

Ptolemy was an ancient Greek scientist who developed a model of the solar system that placed the Sun at the center, rather than the Earth. This model was able to make sufficiently accurate predictions of planetary positions to remain in use for many centuries, and was thus an important part of the history of astronomy.

Learn more about Ptolemy:

https://brainly.com/question/4783558

#SPJ4

A box of weight W = 500 N is set on a light plank d = 5 meters from a fulcrum. A force F is applied to the plank on the opposite side of the fulcrum a distance D = 10 meters from the fulcrum, as shown. What minimum force is required to lift the box?

A box of weight W = 500 N is set on a light plank d = 5 meters from a fulcrum. A force F is applied to

Answers

Given data

*The weight of the box is W = 500 N

*The distance of the plank from the fulcrum is d = 5 m

*The given force at a distance from the fulcrum is D = 10 m

The minimum force is required to lift the box is given by the net torque as

\(\begin{gathered} \tau=0 \\ W\times d-F\times D=0 \\ W\times d=F\times D \end{gathered}\)

Substitute the known values in the above expression as

\(\begin{gathered} 500\times5=F\times10 \\ F=250\text{ N} \end{gathered}\)

Hence, the minimum force is required to lift the box is F = 250 N

the fall of a body on the earth's surface cannot be a complete free fall why ?​

Answers

Explanation:

because the boy has larger surface area due to which he offers the larger air resistance which decreases the acceleration so, he will fall towards the earth's surface approximately with constant velocity.

A certain simple pendulum has a period on earth of 1.72 m/s. What is its period on the surface of Mars,where the acceleration due to gravity is 3.71

Answers

The period of a simple pendulum is directly proportional to the square root of the length of the pendulum and inversely proportional to the square root of the acceleration due to gravity.

Therefore, the period of the simple pendulum on Mars can be calculated using the following formula:
T_mars = T_earth * sqrt(L_earth/L_mars) * sqrt(g_mars/g_earth)
Where T_the earth is the period of  pendulum on Earth (given as 1.72 s), L_earth is the length of the pendulum on Earth (which is not given), L_mars is the length of the pendulum on Mars (which is assumed to be the same as on Earth), g_mars is the acceleration due to gravity on Mars (given as 3.71 m/s^2), and g_earth is the acceleration due to gravity on Earth (which is assumed to be the same as on Earth).

Simplifying the equation by cancelling out L_earth and assuming L_mars = L_earth, we get:
T_mars = T_earth * sqrt(g_earth/g_mars)
Substituting the given values, we get:
T_mars = 1.72 * sqrt(9.81/3.71) = 2.67 s

Therefore, the period of the simple pendulum on the surface of Mars is 2.67 s.

To learn more about acceleration due to gravity here

https://brainly.com/question/29135987

#SPJ11

Object A represents fixed negatively charged particle and Object B represents fixed. positively-charged particle. Object ( shows a

moving positively charged particle. Identify which arrow would correctly show the force of attraction or repulsion on object C caused

by the other two objects?

Answers

Answer:

Moving electrons by cringing the object near another charged object ... This means that there is a different number of protons and electrons ... the attraction or repulsive electrostatic force between positive and negative charges ... the amount of charge on the particle and the distance between the particles ... fixed in position.ation:

c. If the box experiences a force of 15 N to the left, along with the 20 N force acting to the right, what is the net force on the box?

Answers

According to the data given in the question the net force on the box is of 5 N.

What does net force mean?

All of the forces that are applied to an object are added up to form the net force. As a consequence of the fact that it (force) is a vector and therefore that two forces with identical magnitudes and opposing directions cancel each other out, the resultant force is the total of the forces, or put another way, the net force is just the total of all the forces.

Given data :

Force on box to the left side (F1) = 15 N

Force on box to the right side (F2) = 20 N

Because both forces are in opposite direction

Hence,

Net force = F2 - F1

Net force = 20 - 15

Net force = 5 N.

To know more about net force visit :

https://brainly.com/question/14361879

#SPJ1

Two airplanes leave an airport at the same
time. The velocity of the first airplane is
650 m/h at a heading of 37.5°. The velocity
of the second is 650 m/h at a heading of 181°.
How far apart are they after 3.3 h?
Answer in units of m.

Answers

In 3.3 hours, the distance traveled by the first airplane heading at 37.5° at 650 mph is :a = 650*3.3 = 2145 miles.

The second airplane travels

b = 650*3.3 = 2145 mile

The angle between the two airplanes is

181° - 37.5° = 143.5°

Let c =  the distance between the two airplanes after 3.3 hours.

From, Law of Cosines, obtain

c² = a² + b² - 2ab cos(143.5°)

   = 4.6 x 10⁶ + 4.6 x 10⁶

c = 5718.15mile far apart are they

To learn more about similar numerical, click below

https://brainly.com/question/13513742

#SPJ4

A wheel of mass 50 kg has a radius of 0.4 m. It is making 480 rpm. What is the
torque necessary to bring it to rest in 40 seconds?
Solution:

Answers

Answer:

The torque necessary to bring the wheel to rest in 40 seconds is 10.4 N·m

Explanation:

The question is with regards to rotational motion

The rotary motion parameters are;

The mass of the wheel = 50 kg

The radius of the wheel = 0.4 m

The rate of rotation of the wheel = 480 rpm

The time in which the wheel is to be brought to rest = 40 s

The rotational rate of the wheel in rotation per second is given as follows;

480 r.p.m = 480 r.p.m × 1 minute/(60 seconds) = 8 revolution/second

1 revolution = 2·π radians

Therefore, we have the angular velocity, ω, given as follows;

ω = 2·π × 8 revolutions/second ≈ 50.3 rad/s

The angular acceleration, α, is given as follows;

\(\alpha = \dfrac{\Delta \omega}{\Delta t} = \dfrac{\omega _2 - \omega_1}{t_2 - t_1}\)

Whereby the wheel is brought to rest from its initially constant rotational motion in 40 seconds, we have;

ω₁ ≈ 50.3 rad/s, ω₂ = 0 rad/s, and t₂ - t₁ = 40 seconds

Plugging in the values for the variables of the equation for the angular acceleration, "α", we get;

\(\alpha = \dfrac{0 - 50.3 \ rad/s}{40 \ s} \approx 1.3 \ rad/s^2\)

The torque on the wheel, τ, is given as follows;

τ = m·r²·α

Where;

m = The mass of the object = 50 kg

r = The radius of the wheel = 0.4 m

α = The acceleration of the wheel ≈ 1.3 rad/s²

Therefore;

τ = 50 kg × (0.4 m)² × 1.3 rad/s² ≈ 10.4 N·m

The torque necessary to bring the wheel to rest in 40 seconds = τ ≈ 10.4 N·m.

Answer:

-10.048 N m

Explanation:

50 joules of energy are transferred out of a system. The energy is lost through heat, mechanical, and electrical energy took up 15 j and electrical energy took up 10 j, how many joules were lost through heat energy?

Answers

Answer:

25 joules

Explanation:

Not sure I understood correctly but since 15 are taken up by mechanical energy and 10 are taken in by electrical, 50-10-15 would result in 25 joules which must belong to heat energy

What mathematical relationship between variables is suggested by a graph showing a diagonal line from the lower left to the upper right of the
graph?
a
Inverse
B
Linear
C
Quadratic (power)

Answers

Answer:

B; Linear

Explanation:

HELP DUE 3 MINUTES
Sssssdds

HELP DUE 3 MINUTESSssssdds

Answers

The last one is the correct answer,Also can I get brainliest

Answer:

&3?.&.)/&282/8//8338/.)9

Explanation:&3?.&.)/&282/8//8338/.)9

Describe the changes of energy in an electrical train as it approaches a station and breaks to halt

Answers

The changes of energy in an electrical train as it approaches a station and breaks to halt are potential energy friction heat and sound

- → friction on train wheels due to brakes reduces KE of train to zero

- → heat and sound to surroundings

What is energy?

Energy, according to scientists, is the capacity for work. The ability to transform energy from one form to another and use it to perform tasks is what makes modern civilization possible. People utilize energy to travel by foot and bicycle, drive vehicles on land and in water, prepare meals on stoves, create ice in freezers, illuminate our homes and workplaces, create goods, and launch people into space.

Energy comes in a wide variety of forms, including:

HeatLightMotionElectricalChemicalGravitational

These energies can be divided into two categories for working energy:

Potential or stored energyKinetic or working energy

Learn more about energy

https://brainly.com/question/13881533

#SPJ4


A force of 10 newton is applied to one end of a 10
inches diameter circular rod. calculate the stress MPa.

Answers

To calculate the stress in MPa (megapascals) on a circular rod, we need to know the force applied and the diameter of the rod. In this case, a force of 10 newtons is applied to one end of a circular rod with a diameter of 10 inches.

First, we need to convert the diameter from inches to meters since the SI unit for length is meters. One inch is approximately equal to 0.0254 meters. So, the diameter of the rod is 10 inches * 0.0254 meters/inch = 0.254 meters.

Next, we can calculate the stress using the formula:

Stress = Force / Area

The area of a circular rod is given by the formula:

Area = π * (diameter/2)^2

Substituting the values into the formulas, we get:

Area = π * (0.254 meters/2)^2 = π * (0.127 meters)^2

Stress = 10 newtons / (π * (0.127 meters)^2)

Finally, we can calculate the stress in MPa by converting the stress from pascals to megapascals. 1 MPa is equal to 1,000,000 pascals.

To know more about stress visit:

https://brainly.com/question/2303856

#SPJ11

Fill in the blanks to complete this passage about geologic processes.

A geologist is studying the shore along a river. She finds a pile of rocks at the base of a riverbank. These broken rock pieces are the result of
. A little farther along the river, the geologist finds some smaller pebbles in a very shallow, slow-moving section of the river. These rocks were moved to this location through the process of
. The process of the rocks actually being placed here is called
.

Answers

The blanks that are filled in order to complete this passage about geologic processes are as follows:

A geologist who is studying the shore along a river. She discovers a pile of rocks at the base of a riverbank. These destructed rock pieces are the result of weathering. A little farther along the river, the geologist discovers a few smaller bolus in a very shallow, slow-migrating part of the river. These rocks were migrated to this location through the process of erosion. The methodology through which the rocks actually being placed here is called deposition.

What are Erosion and weathering?

Erosion may be characterized as the geological methodology through which earthen materials and compounds like soil or small rock particles are significantly scoured and migrated by natural forces such as wind or water.

Weathering may also be defined as the strategy of geology which scientifically deals with the detailed study of breaking down or dissolving rocks and minerals on Earth's surface with the help of natural as well as human interference.

Therefore, the blanks that are filled in order to complete this passage about geologic processes are appropriately filled.

To learn more about Erosion and weathering, refer to the link:

https://brainly.com/question/11130040

#SPJ1

Which statement is supported by the motion map?

The train traveled south and then north.
The train moved at a velocity of 75 mph north.
The train had a greater velocity when it moved away from the origin.
The train stopped for 3 seconds.

Answers

Answer:

The train stopped for 3 seconds.

Explanation:

D on edge

during a hurricane, a large tree limb, with a mass of 60.0 kg and a height of 20.0 m above the ground, falls on a roof that is 6.0 m above the ground. ignoring the air resistance, find the kinetic energy of the limb when it reaches the roof. (g

Answers

The kinetic energy of a falling tree limb can be calculated by considering the change in potential energy as it falls to the roof.

The potential energy of an object at a certain height is given by the formula \(PE = mgh\), where m is the mass of the object, g is the acceleration due to gravity, and h is the height.

In this case, the tree limb has a mass of 60.0 kg and is initially at a height of 20.0 m. The potential energy of the limb at this height is:

PE = (60.0 kg) * (9.8 m/s^2) * (20.0 m) = 11,760 J

As the limb falls and reaches the roof, all of its potential energy is converted into kinetic energy. Therefore, the kinetic energy of the limb when it reaches the roof is equal to its initial potential energy:

KE = 11,760 J

Hence, the kinetic energy of the limb when it reaches the roof is 11,760 Joules.

Learn more about potential energy here:

https://brainly.com/question/24284560

#SPJ11

An object, with a final position of x = 100.1 meters, initially started at x = -12.13 meters. What was its displacement? (Unit = m)

Answers

Answer:

112.23 m

Explanation:

Displacement is the final position minus the initial position.

Δx = x − x₀

Δx = 100.1 m − (-12.13 m)

Δx = 112.23 m


A brick has a density of 21.6 g/cm3 and a mass of 15.4 g. What is the volume of
the brick?

Answers

1.402597402597403cm^3

The SI unit for acceleration is_____
a m/s.
b m/s 2
c m/s2
d none of the above

Answers

I dont know from option
Because SI Unit of acceleration is m/s^2

two satellites of masses m1 and m2 orbit a planet of mass m in circular orbits. the satellites travel in opposite directions with speeds v1 and v2, as shown in the figure above. their orbital radii are r1 and r2,respectively. assume that m >> m2 > m1. if u1 is the potential energy of the planet-satellite system containing the satellite of mass m1 and u2 is the potential energy of the planet-satellite system containing the satellite of mass m2, in terms of the given variables, what is the ratio u1/u2?

Answers

The ratio u₁/u₂ is equal to (m₁/m₂)×(r₁/r₂). The potential energy of a planet-satellite system is given by the formula U = -G(m₁m₂)/r, where G is the gravitational constant, m₁ and m₂ are the masses of the planet and satellite, and r is the distance between their centers.

In circular orbits, the kinetic  of the satellite is equal to half of its potential energy, so the total energy of the system is negative and equal in magnitude to the potential energy.

Using this formula, we can write u₁ = -G(mm₁)/r₁ and u₂ = -G(m×m₂)/r₂.

Dividing u₁ by u₂, we get:

u₁/u₂ = (-G(m m₁)/r₁) / (-G(m m₂)/r₂)
u₁/u₂ = (m₁ r₂) / (m₂ r₁)
u₁/u₂ = (m₁/m₂) (r₂/r₁)

Since the satellites are in circular orbits, their speeds are given by the formula v = √(Gm/r),

where v is the speed, G is the gravitational constant, m is the mass of the planet, and r is the radius of the orbit.

Therefore, we can write r₂/r₁ = (v₁/v₂)².

Substituting this into the previous equation, we get:

u₁/u₂ = (m₁/m₂) ((v₁/v₂)²)

The ratio u₁/u₂ is equal to (m₁/m₂) (v₁/v₂)², where m₁ and m₂ are the masses of the two satellites, v₁ and v₂ are their speeds, and r₁ and r₂ are their orbital radii.

To know more about gravitational constant, visit

https://brainly.com/question/858421

#SPJ11

+ 9. What force (in units of Newtons) is needed to give a 3.5 m/s" acceleration to a 1200 kg car?

Answers

Answer:

4200 Newtons

Explanation:

Force = mass x acceleration

1200 x 3.5 = 4200

Which of the following characteristics do all unicellular organisms share?

Answers

Answer:

Asexual production they can be eukaryotes or prokaryotes

Explanation:

A cube measures 3cm on each side has a mass of 25 grams. what it its density and relative density.​

Answers

Answer:

Density= 2.78 g/cm³

Relative density=2.8

Explanation:

To calculate the density of the cube we have to use the formula ρ=mass/volume

ρ stands for density.

So now we don't have the volume of the cube and to find the volume of the cube we have to use the formula a³

3³= 9 cm³

Now plug in the values. ρ= 25 g/9 cm³

ρ= 2.78 g/cm³

To find the relative density, we have to use the formula ρsample/ρH20

The sample means the density of the substance earlier. We do not know the density of water but it is constant at 997 kg/m³.

Now we have to make the units same so you change the unit of the density of cube to kg/m³

So, 25/1000= 0.025 kg

9/100×100×100 (because cm³ which means that there should be 3 meters to change the unit and to conver cm to meter we need to divide by 100 so 9cm/100, 9cm²/100×100, 9cm³/100×100×100)

=0.000009 m³

The new density= 0.025 kg/ 0.000009 m³

= 2777.78 kg/m³

Now plug the values into the formula:

relative density= 2.777.78 kg/m³ / 997 kg/m³

=2.8

There is no unit since kg/m³ and kg/m³ cancels

22. What is the length of a pendulum that has a period of 0.500 s?

Please show all of your steps to find the solution.

Answers

6.21 cm

use the pendulum formula : \(\sf \bold{\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{L}}{\mathrm{g}}}}\)

where

T is time or periodπ is pie = 22/7L is pendulum lengthg is acceleration due to gravity

Given:

T = 0.500 sg = 9.8 m/s²

solving step-wise:

\(\dashrightarrow \mathrm{T}=2 \pi \sqrt{\dfrac{\mathrm{L}}{\mathrm{g}}}\)

\(\sf \dashrightarrow \mathrm{0.5}=2 \pi \sqrt{\dfrac{\mathrm{L}}{\mathrm{9.8}}}\)

\(\dashrightarrow \mathrm{\dfrac{0.5}{2 \pi } }=\sqrt{\dfrac{\mathrm{L}}{\mathrm{9.8}}}\)

\(\dashrightarrow\sqrt{\dfrac{\mathrm{L}}{\mathrm{9.8}}}= \mathrm{\dfrac{0.5}{2 \pi } }\)

\(\sf \dashrightarrow{\dfrac{\mathrm{L}}{\mathrm{9.8}}}= (\mathrm{\dfrac{0.5}{2 \pi } })^2\)

\(\sf \dashrightarrow{{\mathrm{L}}= (\mathrm{\dfrac{0.5}{2 \pi } })^2*9.8\)

\(\sf \dashrightarrow{{\mathrm{L}}=0.06205922 \ m\)

1 m → 100 cm

\(\sf \dashrightarrow{{\mathrm{L}}=6.2059\ cm\)

\(\sf \dashrightarrow{{\mathrm{L}}=6.21\ cm\)             { rounded to nearest hundredth }

Let's see

\(\\ \rm\rightarrowtail T=2\pi \sqrt{\dfrac{l}{g}}\)

\(\\ \rm\rightarrowtail 0.5=2\pi \sqrt{\dfrac{l}{9.8}}\)

\(\\ \rm\rightarrowtail 0.783=\pi \sqrt{l}\)

\(\\ \rm\rightarrowtail 0.2494=\sqrt{l}\)

\(\\ \rm\rightarrowtail \ell=0.0622m\)

Whenever energy is changed from one form to another is some energy lost as heat

Answers

Answer:

That is very true, there can never be 100% energy conversion.

a 6 meter ladder is against a wall. if its bottom is pull at a constant of 0.5 m/sec, how fast is the ladder top sliding when it reaches 3 metersuo the wall

Answers

Hence, the ladder top to touch ground the ladder base should pull back a distance of ( 6 - 3 ) = 3 meters on ground As the rate of sliding of base of ladder is 0.5 meter per second , it takes a time of [  3/ (0.5) ] = 6 seconds.

What is a simple definition of distance?

What is Distance? Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.

How is a distance measured?

Distance measures length. For example, the distance of a road is how long the road is. In the metric system of measurement, the most common units of distance are millimeters, centimeters, meters, and kilometers.

To know more about distance visit

https://brainly.com/question/13793384

#SPJ4

An object moves from point A to B to C to D and finally to A
along the circle shown in the figure below.
a) Find the distance covered by the moving object.
b) Find the magnitude of the displacement of the object.

An object moves from point A to B to C to D and finally to Aalong the circle shown in the figure below.a)

Answers

Answer:

a) The distance covered by the moving object is approximately 18.85 km

b) The magnitude of the displacement of the object is 0 (no displacement)

Explanation:

From the drawing, we have;

The sale of the drawing is 1 unit = 1 km

The radius of the circle in the drawing along which the object moves = 3 units

Therefore;

The radius of the circle along which the object moves, r = 1 km/unit × 3 units = 3 km

a) The distance covered by the object that moves from point A to B to C to D and finally to A is equal to the circumference of the circle

Therefore;

The distance covered by the moving object, d = 2·π·r

By pugging the value for r = 3 km

d = 2 × π × 3 km = 6·π km ≈ 18.85 km

The distance covered by the moving object, d ≈ 18.85 km

b) The displacement = The object's change in position

The initial position of the object = Point A

The final position of the object = Point A

Therefore, the displacement of the object, A = No displacement = 0 (No difference between the initial and final location of the object

Particles q1 = -20.5 UC, q2 = -9.30 uC, and q3 = -31.6.0 uC are in a line. Particles q, and q2 are separated by 0.980 m and particles q2 and q3 are separated by 0.750 m. What is the net force on particle q2?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right

Answers

The net force on particle q2 can be calculated by finding the net electric force acting on it. The net electric force acting on a particle is the vector sum of the forces exerted by all the other charges on it.

The electric force between two charges q1 and q2 is given by Coulomb's law: F = k * (q1 * q2)/r^2, where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them.

The force on particle q2 due to q1 will be:

F1 = k * (q1 * q2) / (0.980m)^2

The force on particle q2 due to q3 will be:

F2 = k * (q2 * q3) / (0.750m)^2

The net force acting on q2 will be the vector sum of F1 and F2.

Keep in mind, q1 and q3 have opposite charges, so they attract each other, while q2 has the same charge as q1, so they repel each other.

Note: The unit of charge is Coulomb (C), but in this problem you are given the charges in microCoulomb (uC) so you need to convert it to Coulomb.

Which of the following situations violates the second law of
thermodynamics?
OA. A heat pump absorbs 100 J of heat from a cool reservoir and
releases 80 J of heat to a hot reservoir.
B. A heat engine absorbs 100 J of heat from a hot reservoir and
releases 70 J of heat to a cool reservoir.
C. A heat pump absorbs 100 J of heat from a cool reservoir and
releases 120 J of heat to a hot reservoir.
D. A heat engine absorbs 100 J of heat from a hot reservoir and
releases 20 J of heat to a cool reservoir.

Answers

C. A heat pump absorbs 100 J of heat from a cool reservoir and releases 120 J of heat to a hot reservoir.

What would violate the second law of thermodynamics?

In order to operate, a heat engine must reject some of the heat it receives from the high-temperature source to a low-temperature sink.

A heat engine that violates the second law converts 100 percent of this heat to work. This is physically impossible. This heat engine violates the second law of thermodynamics.

The second law can also be stated as no heat engine can have a thermal efficiency of 100 percent.

The thermal efficiency of a heat engine is defined as the ratio of the work output to the heat input:

Clearly, if the thermal efficiency of a heat engine is 100 percent,

Qin=Wout

If the second law precludes a heat engine from having a thermal efficiency of 100 percent. A heat engine is a device that converts a portion of the heat supplied to it from a high-temperature source into work. The remaining heat is rejected to a low-temperature sink.

Therefore:

A heat pump absorbs 100 J of heat from a cool reservoir and releases 120 J of heat to a hot reservoir.

Learn more about second law of thermodynamics here:

https://brainly.com/question/1368306

#SPJ1

b. Two vectors with dimensions A = 5i + 3j + k and B = 4i + j + 2k are used for the following calculation. Determine: i. ii. iv. The dot product A.B. [2 marks] [3 Marks] The angle between vectors A and B. The cross product A XB. [2 marks] The area of the parallelogram spanned by the vectors A and B. [3 Marks]

Answers

The dot product is 25, the angle is \(\theta = cos^{-1} \frac{25}{\sqrt{35} \times \sqrt{21}}\), the cross product is 1i + (-6)j + (-7)k, and the area of the parallelogram spanned by vectors A and B is \(\sqrt{86}\).

Given,

A = 5i + 3j + k

B = 4i + j + 2k

i. Dot Product (A · B):

The dot product of two vectors A and B is given by the sum of the products of their corresponding components.

\(A.B = (A_x \times B_x) + (A_y \times B_y) + (A_z \times B_z)\\A.B = (5 \times 4) + (3 \times 1) + (1 \times 2) \\= 20 + 3 + 2 \\= 25\)

ii. Angle between vectors A and B:

The angle between two vectors A and B can be calculated using the dot product and the magnitudes of the vectors.

\(cos\theta = (A.B) / (|A| \times |B|)\\\theta = \frac{1}{cos} ((A.B) / (|A| \times |B|))\\A = \sqrt{(5^2 + 3^2 + 1^2)} =\\ \sqrt{35}\\B = \sqrt{(4^2 + 1^2 + 2^2)} \\= \sqrt{21}cos\theta = \frac{(A.B) / (|A| \times |B|)\\\theta = \frac{1}{cos} \frac{25}{\sqrt{35} \times \sqrt{21}}}\)

iv. Cross Product (A × B):

The cross product of two vectors A and B is a vector that is perpendicular to both A and B and its magnitude is equal to the area of the parallelogram spanned by A and B.

\(A\times B = (A_y \timesB_z - A_z \timesB_y)i + (A_z \timesB_x - A_x \timesB_z)j + (A_x \times B_y - A_y \times B_x)k\\A\times B = ((3 \times 2) - (1 \times 1))i + ((1 \times 4) - (5 \times 2))j + ((5 \times 1) - (3 \times 4))k\\= 1i + (-6)j + (-7)k\)

Area of the parallelogram spanned by vectors A and B:

The magnitude of the cross product A × B gives us the area of the parallelogram spanned by A and B.

Area = |A × B|

Area of the parallelogram spanned by vectors A and B:

Area = |A × B| =

\(\sqrt{(1^2 + (-6)^2 + (-7)^2}\\\sqrt{1+36+49\\\\\sqrt{86}\)

Learn more about vectors, here:

https://brainly.com/question/24256726

#SPJ4

Other Questions
Robin likes working with numbers and is interested in joining a large organization with a clearly defined career path. Bookkeeper: Customer None taco Monstrot Consider the market for hamburgers in an economy where the market equilibrium is characterized by a quantity of hamburgers of 50 million and a price of $5.00 per hamburger. Suppose that currently 50 million hamburgers are being produced and sold at a price of $5.00. This outcome in the market for hamburgers is economically _________ because: a. The opportunity cost of producing the last hamburger equals the marginal benefit of consumption. b. Some hamburgers that are valued more highly by consumers than their opportunity cost of production are not being produced and sold c. Some hamburgers produced incur opportunity costs of production that exceed their value or marginal benefit to consumers.Which of the following must be true for a market to be able to achieve an efficient outcome? a. The market price is determined solely by the forces of supply of and demand for a good. b. Firms can freely enter or exit the market without any barriers. c. Private property rights are well-defined and enforced. The quotients of 16.5 divided by 10 distributive property of multiplication worksheets Liyana found the total number of large shirts for her company using the strategybelow. Is she correct? Check her work using a strategy of your own189 shirts +51 shirts + 208 shirts =100+ 0 + 200 = 30080 +50 + 10 = 1409+1 + 8 = 18300 + 140 + 18 = 458 total shirtsIs Liyana correct? Explain your answer below. Does the ability of chiromantis frogs to resist water loss most likely represent acclimatization or adaptation? the synthesis of cholesterol is a process that involves over 30 different steps. which step is the rate-determining step of cholesterol synthesis? what is the molarity of a solution of Na2CO if 100 grams of solute are dissolved in 0.5 L of water? Which term describes Stefano's role in "The Colomber" by Dino Buzzati best? In the F.I.T.T. model, which component identifies how often you should workout?A FrequencyBIntensityTimeDType which of the following best explains the picture Question 10 (1 point)Choose the correct sentence.You completed the job well.You completed the job good. Find the surface area of this triangular prism! Hurry! The fifth-grade teacher was surprised when her Japanese-American student, Hiroko, performed poorly in math. The teacher's reaction was due to _____. A) polarization B) stereotyping C) groupthink D) deindividuation John prepared 3 liters of tomato soup for his book group. He has to serve the soup to each guest. A soup bowl holds 200 milliliters of soup. How many soup bowls will he be able to fill? What is the full answer Pls answer this I need help for my finals! 6 less than the cube of a number. find the area of the following shapes. Show the formula used and all work. Round to 1 decimal place . Which statement explains why the element carbon forms so many compounds?1Carbon atoms combine readily with oxygen2Carbon atoms readily attract electrons.3Carbon readily forms ionic bonds with other carbon atoms.4Carbon readily forms covalent bonds with other carbon atoms.Hide Toolbar