show that vector a + vector b = vector b + vector a.

Answers

Answer 1

Recall that vector addition can be visually represented by the head-to-tail method. This means that the head of one vector is glued to the tail of the other vector, to point us directly to the target vector we're after. Think of it like following instructions on a map.

A visual example is shown below. There are two pathways to arrive at the c = a+b vector. The patheway on the right is a+b while the path on the left is b+a. The order doesn't matter since we arrive at the same destination.

-------------------------------------

Here's an algebraic approach without the need of a drawing.

Consider that vectors a and b are defined like so

a = <p,q>

b = <r,s>

where p,q,r,s are real numbers. They define the coordinates of the two vectors.

Adding vectors a and b gets us

a+b = <p,q>+<r,s> = <p+r,q+s>

We add the corresponding coordinates. Since p+r is the same as r+p, we can say,

b+a = <r,s>+<p,q> = <r+p,s+q> = <p+r,s+q> = a+b

Therefore, a+b = b+a. Again, this all relies on the fact that addition of scalar numbers can be done in any order. So by extension, vector addition can be done in any order. This applies to multiple vectors and not just two of them.

Show That Vector A + Vector B = Vector B + Vector A.

Related Questions

how do i get the correct answer for 0.429m to mm

Answers

the answer for 0.429m to mm is 429

Answer:

0.429m=429 mm

Explanation:

Since there are 1,000 millimeters per meter, you need to multiply by 1,000 to convert from meters to millimeters.

Write about any 8 areas of field where physics  is applied .Illustrate  it with examples .​

Answers

Explanation:

In construction.When constructing roads, buildingIn Engineering, when engineering we use physics such as calculations.At homeIn industries, industries use chemicals and so on.In tailoring, we use the knowledge of physics like when sowing.In carpentry, we use calculations.In Hospitals, we use physics we balancing In Sites, we use energy.

Physics is a discipline that its applications cut across all fields. Ranging from banking, cooking, transportation, lecturing, medicine, engineering etc. It is the bed rock of engineering because all aspect of engineering involves the application of Physics.

Some of the fields where Physics is applied are:

a) Lecturing: This field requires the continuous dissemination of Physics knowledge to students from one level to another level.

b) Medicine: The various applications of physics in medicine can not be over-emphasized. This is because medicine involves the use of ultrasound, ionizing and non-ionizing radiation, magnetic resonance etc.

c) Electrical Engineering: In this field, the basic knowledge of Physics is applied to circuits, boards and electrical components.

d) Civil Engineering: The knowledge of stress, strain, shear, force, torque, weight etc are used in a lot of deductions.

e) Broadcasting station: This field make use of a lot of Physics principles so as to increase awareness and pass information. Thus the frequency of a broadcasting station determines her area coverage.

f) Transportation: As all vehicles consists of electrical devices, then the knowledge of Physics can bot be avoided.

g) Communication: Ranging from GPS, GPRS, Data transmission, voice call, email etc requires the knowledge and application of Physics.

h) Archaeology: Though not a related to Physics, but it requires the application of it. Radio-dating and carbon-dating are required to determine the age of some ancestral objects or artifacts.

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Heat is added to a 2kg piece of ice at a rate of 793kW. How long will it take for ice to melt if it was initially 0?

Answers

Answer:

0.84 s

Explanation:

Step 1

Given information:

Mass of the ice (m) = 2.0 kg

Heat transfer rate (Q/T) = 793.0 kW

Latent heat of fusion of ice (Lf) = 334 kJ/kg

[tex] \frac{Q}{T} = \frac{mLf}{T} [/tex]

Substituting the corresponding values we have:

[tex]793.0 kW= \frac{2.0kg(334 kJ/kg)}{T} \\ T = \frac{2.0kg(334 kJ/kg)}{793.0kW} = \frac{668kJ}{793kW} \\ = 0.84s[/tex]

Can anyone help if u know it pls!!

Answers

Answer:

(1)

H² = B² × L²

H² = (9.2)² × (5.2)²

H² = 84.64 × 27.04

H² = 2288.6656

H = √ 2288.6656

H = 47.84

Answer:

Use Pythagorean theorem

19) A² + B² = C²

5.2² + 9.2² = C²

C = √111.68

C = 10.567875...

C ≈ 10.6

21) A² + B² = C²

B² = C² - A²

B² = 7.2² - 5.3²

B = √23.75

B = 4.873397...

B ≈ 4.9

In vector diagrams, what does the length of the arrow tell you?

Answers

Answer:

The length of the arrow tells you the size of the quantity in the vector diagram.

The direction of the arrow simply tells you the direction

Answer and Explanation:

A vector in this sense is a thing that has both magnitude (length) and direction.

Say you're walking at a speed of 5 miles per hour. If you keep walking in a straight line, then in two hours you will have walked 10 miles.

This doesn't give any information about where you started or any information about where you ended up after those 2 hours.

This is because "speed" is a scalar. It's a number with no associated geometry. It's just a magnitude. It's the magnitude of velocity.

Velocity is a vector.

Look on a map at where you are right now. Call that the center of the circle. Draw the circle with a 10 mile radius around where you are now.

The length of the arrow represents all of the possible places you could be after a two hour walk.

Which direction the arrow was pointing is what allows your friends to meet you there without checking along a ~63 mile path to find you or searching ~314 square miles to find you if you slowed down or stopped off along the way.

Select the correct answer.
Which statement is true?
A.
Inertia causes bodies to slow in their motion, unless they’re pushed by a force.
B.
Inertia resists changes to the state of motion of a body.
C.
Inertia decelerates a body.
D.
Inertia is due to friction.

Answers

Pretty sure it is B.
Because inertia is a tendency to do nothing or remain unchanged.

how will this substance ease the pain?​

Answers

Answer:

There are two main types of OTC pain medicines: acetaminophen (Tylenol) and nonsteroidal anti-inflammatory drugs (NSAIDs). Aspirin, naproxen (Aleve), and ibuprofen (Advil, Motrin) are examples of OTC NSAIDs. If OTC medicines don't relieve your pain, your doctor may prescribe something stronger

Oketch's house has a septic tank with dimensions as shown below. 6m 2m 3m a) What is the capacity of the septic tank in; (1) m (ii) in litres cm3​

Answers

[tex] \large \mathfrak{Solution : }[/tex]

Capicity of the septic tank is :

6m × 2m × 3m

24 m³

(i) capicity = 24 m³

(ii) capicity = 24 × 1000000 = 24000000 litres (cm³)

Which velocity time graph represents the motion of an object moving with constant acceleration

Answers

Answer:

A

plss mark me brainliesttt

How do you feel about the way land is used around you?

Answers

Answer:

I feel that people hurt the land and are destroying. I think they aren't using the land for the right reasons.

At the scene of an accident, a police officer notices that the skid marks of a car are 10m long. The officer knows
that the typical deceleration of a car when skidding is 45 m/s?. What can the officer estimate for the original
speed of the car?

Answers

Answer:

30 m/s

Explanation:

0^2= Vi^2+ 2 (-45)(10)

The original speed of the car is equal to 30m/s which can be calculated from the third equation of motion.

What is the equation of motion?

Equations of motion explain the basic concept of motion such as the position, velocity, or acceleration of an object several times. These three equations of motion can be governed by the motion of an object in 1D, 2D, and 3D.

There are three equations of motion that can be used to find displacement(s), velocity (v or u), time(t), and acceleration(a). The third equation of motion can be represented as follows:

v² = u² + 2aS

Given, the car is deaccelerated by 45m/s².

The distance covered by the car before it stops, S = 10 m

The final velocity of the car, v = 0 as it comes to rest.

We have to calculate the initial velocity of the car by using the third equation of motion:

(0)² = (u)² + 2 (-45) × (10)

u²= 900

u = 30 m/s

Therefore, the original speed of the car is 30 m/s.

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What is the speed of a walking person in m/s if the person travels 2000 m in 35 minutes?

Answers

Distance = 2000m

Time = 35 minutes = 35×60 sec = 2100 sec

We know, Speed = Distance/Time

Therefore, Speed

= 2000m/2100s = 20/21 m/s

Answer: 20/21 m/s

Hope it helps! Please do comment

PLSS HELP NOWW!!!!!!(01.01 LC) Which is an example of the force of attraction between two objects that have mass? (2 points) a Magnetism b Gravity c Solar energy d Electricity

Answers

Answer:

pretty sure it is gravity

Answer:

Electricity

Explanation:

10 Claims · Evidence · Reasoning Suppose
that 273 g of one of the substances listed
above displaces 26 mL of water. What is the
substance? Explain your reasoning.

Answers

From the table shown we can see that the substance that has a density of 10.50g/cm³ is Silver. Hence the required substance is silver

Density is the ratio of the mass of an object to its volume. Mathematically,

Density = Mass/Volume

Given the following from the question

Mass = 273g

Volume of water = 26mL

Convert the volume to cm³

1ml = 1cm³ Hence;

26mL = 26cm³

Get the density of the object

Density = 273g/26cm³

Density = 10.50g/cm³

Hence the required density is 10.50cm³. From the table shown we can see that the substance that has a density of 10.50g/cm³ is Silver. Hence the required substance is silver

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a plane is traveling at 250 m/s north after being in the air for 1 hour, what is the displacement?

Answers

Answer:

900,000 meters of displacement.

Explanation:

250x60x60 because it is meters per second and needs to be converted to a full hour.

what is physical change?​

Answers

A physical change is a change affecting the form of a chemical substance, but not its chemical composition. Physical changes are used to separate mixtures into their component compounds, but can not usually be used to separate compounds into chemical elements or simpler compounds.

What is "the cloud"?

Answers

Answer:

Cloud is a condensed from of atmospheric moisture consisting of small water droplets.

Clouds cause rainfall and snow fall.

Different types of clouds are found in the atmosphere. Some main types of them are cirrus, cumulus, nimbus, and stratus. Most clouds are generated by the cooling of air as it rises.

The Cloud is the on-demand availability of computer system resources, especially data storage and computing power, without direct active management by the user. Large clouds often have functions distributed over multiple locations, each location being a data center

2. Which activity requires a scientist to use
creativity?

A. observing the behavior of a mouse in a maz

B. meffuring the distance an object travels
during an experiment

C. designing an experiment to test the
relationship between force and slope

D. repeating an experiment several times to
determine whether the results are valid

Answers

Answer:

c please mark me as brainiest

Explanation:

Answer:

Sorry i didn't know about this question and sorry please don't mind...

Explanation:

bro can you please help me can you please mark's me as brainliests please...

5. Which of the following best supports a scientific
explanation?

A. personal bias and the opinion of the scientist

B. hypothesis formed after initial observations

C. imagination and originality of the hypothesis

D. experimental data obtained by using
technology to get objective measurements

Answers

Answer:

experimental data obtained by using technology to get objective measuremennts

A car has a steady speed 8m/s
How far does the car travel in the 8s

Answers

Answer:

64 m

Explanation:

use formula velocity= displacement / time

Speed=8m/sTime=8s

[tex]\\ \rm\longmapsto Distance=Speed\times Time[/tex]

[tex]\\ \rm\longmapsto Distance=8(8)[/tex]

[tex]\\ \rm\longmapsto Distance=64m[/tex]

what is the speed of a cat which travels 3600m in one hour?
1)0. 2)3600m/hr. 3)1m/s​

Answers

Answer:

3600m/hr is the speed of the cat

Explain why circular motion includes continuous
acceleration even when the speed does not change

Answers

goes around in a circle honesty
Just like the user kind of said it goes around the circle because Circular motion is an acceleration because the velocity is changing. Velocity includes both speed and direction. When an object moves in a circle, its direction is changing.

A projectile is launched vertically with an initial velocity of 50 m/s. How long would it take to reach the top of the launch?

Answers

Answer:

Explanation:

Givens

vi = 50 m/s

vf = 0

a = - 9.81

t = ?

Formula

t = (vf - vi)/a

Solution

t = (0 - 50)/-9.81

t = 5.097

Notice that a is made into a minus. It does not mean subtract. It means that the direction of the projectile and gravity must go in opposite directions. You will find that direction is a critically important consideration in physics.

Answer:

It'd take it 5.10 seconds

Explanation:

At the top of the launch, it is maximum height, h

formular derivation :

At maximum height, final velocity, v is zero

From first newtons equation:

[tex]{ \sf{v = u + gt}}[/tex]

v is the final velocity

u is the initial velocity

g is acceleration due to gravity

t is the time taken

but v is zero:

[tex]0 = u + gt \\ gt = u \\ t = \frac{u}{g} [/tex]

since it is vertical motion, u = usin(theta), where angle is 90°

[tex]{ \boxed{t = \frac{u \sin( \theta) }{g} }}[/tex]

t is the time taken to reach the top of the launch:

substitute, taking g to be 9.8 m/s²

[tex]t = \frac{50 \times \sin(90 \degree) }{9.8} = \frac{50}{9.8} \\ \\ { \boxed{ \boxed{time = 5.10 \: seconds}}}[/tex]

HEEEELP!!!!!HOW DOES SPEED TURN INTO A FORMULA.

Answers

The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.

Hope this helps..

What are the differences and similarities between strong nuclear forces and electric force???

Answers

Answer:

the similarities is that that they both act one charged particles

Explanation:

hope that helps>3

A car is travelling down a road. A displacement vs. time graph for the car is shown below. What is the velocity of the car 6 s into the car's motion?​

Answers

May you attach your displacement vs. time graph picture and resend the question once again then I might be able to help you

help me i dont understand

Answers

Answer:

It's D

Explanation:

because the kinetic energy of the turbines produces electric energy

The correct answer to the question is D). Kinetic to electrical.
EXPLANATION:
Hydro electric power plants are the electricity generation plants which capture the energy of falling water to produce current.
The water present at the top of a dam has potential energy. When the water is allowed to fall from certain height, the potential energy of the water is converted into kinetic energy.
The falling water moving with high speed is allowed to fall on a turbine. The kinetic energy of the water will rotate the turbine. The turbine is attached to a generator which will produce electricity due to the electromagnetic induction.
Hence, we see that the kinetic energy of the water is converted into electric energy.

¿Qué distancia recorre en 2 horas?

Answers

Answer:

tienes que dar más información

Explanation:

.

What is the velocity of the objected represented by the graph between 14.0 s and 18.0 s?
240 m/s
- 15 m/s

- 120 m/s
120 m/s

Answers

120 m/s is what a teacher of mine said when we did this!

Kepler's Laws of Motion explain why ________.

Answers

Answer:

Kepler's three laws of planetary motion can be stated as follows: (1) All planets move about the Sun in elliptical orbits, having the Sun as one of the foci. ... (3) The squares of the sidereal periods (of revolution) of the planets are directly proportional to the cubes of their mean distances from the Sun.

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