Vectors with constants

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
Staff Emeritus
Gold Member
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?

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

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