Finding vectors in Cartesian Coordinates

[uchicago2012]

Homework Statement

The vector V is given by V = (5.0x-12.0y )m. What is W such that V + W = -5|V|x?

Homework Equations

|v| = (v_x² + v_y²)^1/2

The Attempt at a Solution

I was unsure of what I did to subtract vector v- I know the negative vector has the same magnitude but opposite direction of the positive vector, but I wasn't sure how to express it. I wound up switching the signs to express that they were in different directions.

w = -5 |v| xhat - v
w = (-5)(13 m) xhat + (-5.0 xhat + 12.0 yhat)m
w = (-70.0 xhat + 12.0 yhat) m

 

[rock.freak667]

That looks correct to me.