Vector has a magnitude of 113 units and points 34.0 ° north of west. Vector points 63.0 ° east of north. Vector points 17.0 ° west of south. These three vectors add to give a resultant vector that is zero. Using components, find the magnitudes of (a) vector and (b) vector .

Question

Vector  has a magnitude of 113 units and points 34.0 ° north of west. Vector  points 63.0 ° east of north. Vector  points 17.0 ° west of south. These three vectors add to give a resultant vector that is zero. Using components, find the magnitudes of (a) vector  and (b) vector .
A is 20 degrees and B is 60 degrees. I don't even know how to start

Steve · Answer

You sure are cagey with the names of your vectors.

I'll call them u,v,w.

Just draw a diagram. It should be clear that the x- and y-components of vector u are

x: -113 cos34°
y: 113 sin34°

Do the others the same way. For magnitudes, recall that

|<x,y>| = √(x^2+y^2)