Vector Addition and Subtraction for Homework Help

[EmmaB03]

Homework Statement

[/B]
For the vectors A and B (shown in the figure attached), carefully sketch:

- The vector sum C = A + B
- The vector difference D = A - B
- The vector E = -A - B
- The vector difference F = B - A

Homework Equations

Please explain how to do this.

The Attempt at a Solution

Don't know what to do :(

 

[TJGilb]

When adding two vectors, keep the first one in place, and then put the tail of the second at the head of the first. Then you can draw from the origin to where that second vector's head is, and that's your new vector. Do the same for subtracting, but reverse the direction of the one you're subtracting.

You can also break the vectors up into their (x,y) components and add/subtract those, giving you the (x,y) components for your new vector.