Demonstration 1:

Given the two vectors a and b shown above,

sketch to the right your prediction for their sum

= a +b. Be certain to label the vectors.

Only after you have sketched your prediction, open the Vector Addition

simulation: https://phet.colorado.edu/sims/html/vector-addition/latest/vector-

addition_en.html and open Explore 2D. Drag the two vectors anywhere on the

graph grid, adjust their lengths carefully, and then click on the Sum---> box to

view the vector sum. Does this agree with your prediction?

Move the vectors around to show how the Triangle Rule results in the vector

sum. Describe how this results in the correct sum.

Demonstration 2:

Given the two vectors a and b shown above,

sketch to the right your prediction for their

difference c = a - b. Be certain to label the

vectors.

Only after you have sketched your prediction, use the Vector Addition

simulation. Recall that the vector difference a - b is the same as the sum of

a + (-b). Does the result agree with your prediction? If not, explain why.

Move the vectors around to show how the Triangle Rule results in the vector

difference. Describe how this results in the correct difference.

Demonstration 3:

Given the two vectors and shown above,

sketch to the right your prediction for the vector

At that the added to todas Mate/nof 5

Demonstration 3:

Given the two vectors and shown above,

sketch to the right your prediction for the vector

A that must be added to , to produce ₂. Note

that , + A = ₂.

Only after you have sketched your prediction, again use the Vector Addition

simulation. Use the vectors a and b for the two v vectors and recall that

AV=V₂ - V₁. Does the result agree with your prediction? If not, explain why.

Also use the simulation to verify that + AP=R₂₂

Demonstration 4:

Given the two vectors a and b shown above,

sketch to the right your prediction for the vector

Ab that must be added to b to produce a. Note

that b + Ab=ā.

Only after you have sketched your prediction, again use the Vector Addition

simulation. Recall that b = a - b. Does the result agree with your prediction? If

not, explain why.

Also use the simulation to verify that b + b = a.

estions 135 refer to the following two vectors V1 a

9

https://nages voregon edu/sokoloff/Homell DY/nDemonstration 5:

Vector a with the x-y axes shown only has a y-

component. The x-component of a is zero. Draw

another set of x-y axes near the vector b such that

b only has an x-component in this new coordinate

system.

Only after you have sketched your prediction, click here to see the result. Compare the result to your prediction and explain any differences.

Demonstration 6:

The vector C is shown on the right.

Show the x-component, C, on the diagram.

Is the x-component positive or negative?

Show the y-component, C, on the diagram.

Is the y-component positive or negative?

In terms of C and 8,

Write an expression for C

Write an expression for Cy:

Only after you have sketched your prediction, click here to see the result. Compare the result to your prediction and explain any differences.

Demonstration 7:

The vector is shown on the right.

Show the x-component, Dy on the diagram.

Is the x-component positive or negative?

Show the y-component. Dy on the diagram.

Is the y-component positive or negative?

In terms of D and 8,

Write an expression for Dx:

D0