Vectors with constants

1. Sep 10, 2011

renncat2

Let a$\vec{A}$+ b$\vec{B}$ + $\vec{C}$ = 0, where $\vec{A}$ = (75, -60), $\vec{B}$ = (-16, 60), and $\vec{C}$ = (84,16). I need to find the value of a and b. I really have no idea where to start with this problem any help would be great!

2. Sep 10, 2011

Hootenanny

Staff Emeritus
Welcome to Physics Forums.

You have two equations, with two unknowns. How do you suppose you could solve them?

3. Sep 10, 2011

renncat2

So far I found the magnitude of the resultant displacement. (Rx = 144, Ry = 16, $\vec{R}$ = 144.886)

4. Sep 10, 2011

Hootenanny

Staff Emeritus
The magnitude of the resultant vector is zero, by definition.

How do you normally solve systems of simultaneous equations?

5. Sep 10, 2011

renncat2

i don't know. can you give me an example?