Chapter 3, Problem 26PCE

Vector $\stackrel{\to }{\text{A}}$ points in the negative x direction and has a magnitude of 22 units. The vector $\stackrel{\to }{\text{B}}$ points in the positive y direction. (a) Find the magnitude of $\stackrel{\to }{\text{B}}$if $\stackrel{\to }{\text{A}}+\stackrel{\to }{\text{B}}$ has a magnitude of 37 units. (b) Sketch $\stackrel{\to }{\text{A}}$ and $\stackrel{\to }{\text{B}}$.