- #1

- 13

- 0

## Homework Statement

The diagram below shows two vectors, A and B, and their angles relative to the coordinate axes as indicated.

DATA: α= 47.5o β= 56.6o |A| = 7.9 cm. The vector A - B is parallel to the -x axis (points due West).

A) Calculate the y-component of vector B. Answer: -5.82 cm

B) Calculate the x component of the vector A - B .

C) Calculate the magnitude of the vector A + B.

## Homework Equations

I.) B

_{x}=B*cos(beta)

II.) B

_{y}=B*sin(beta)

III.) A

_{x}=A*cos(alpha)

IV.) A

_{x}=A*sin(alpha)

V.) C

_{x}=A

_{x}+B

_{x}

## The Attempt at a Solution

The original problem doesn't give B, but does tell you that A

_{y}=B

_{y}, so you should be able to take B

_{y}from the first part of the question and plug that value into equation II and solve for B, which allows you to use equation I to find B

_{x}and then find A

_{x}and add the two together to find the X component of vector A-B. The answer I came up with was 5.34 + -3.84 = 1.50. This is incorrect but I am not sure where I am going wrong. I've tried it a couple of different ways in case I was misunderstanding the meaning of A-B and all of the different ways to add those two together (or even subtract) are wrong.