Vector Element Problem: Solving for Components of C in A - B + 3C = 0

[ramin86]

Vector A has x and y components of -8.40 cm and 16.0 cm, respectively; vector B has x and y components of 12.6 cm and -6.00 cm, respectively. If A - B + 3C = 0, what are the components of C?

Not sure how to do this problem, I was thinking of adding the horizontal and vertical elements for A and B, but that wouldn't help in finding the components of C.

 

[Pyrrhus]

You have a vector equation that will give two scalar equations.

$$\vec{A} -\vec{B} + 3\vec{C} = 0$$

$$A_{x} - B_{x} + 3C_{x} = 0$$
$$A_{y} - B_{y} + 3C_{y} = 0$$

 

[ramin86]

thanks a lot, it was a whole lot simpler than I thought, I always seem to make physics problems more complicated than they should be lol

 

[Pyrrhus]

thanks a lot, it was a whole lot simpler than I thought, I always seem to make physics problems more complicated than they should be lol

No problem,