Chapter 1, Problem 55P

Vector $\stackrel{\to }{\text{A}}$ has a magnitude of 29 units and points in the positive y-direction. When vector $\stackrel{\to }{\text{B}}$ is added to $\stackrel{\to }{\text{A}}$, the resultant vector  $\stackrel{\to }{\text{A}}$ + $\stackrel{\to }{\text{B}}$ points in the negative y-direction with a magnitude of 14 units. Find the magnitude and direction of $\stackrel{\to }{\text{B}}$.