What are the values of a and b in this vector equation?

[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!

 

[Hootenanny]

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!

Welcome to Physics Forums.

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

 

[renncat2]

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

 

[Hootenanny]

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

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

How do you normally solve systems of simultaneous equations?

 

[renncat2]

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