\begin{problem*}{3.36}
Three displacement vectors of a croquet ball are shown in Figure
P3.36, where $|\vect{A}| = 20.0\U{units}$, $|\vect{B}| =
40.0\U{units}$, and $|\vect{C}| = 30.0\U{units}$.  Find \Part{a} the
resultant in unit-vector notation and \Part{b} the magnitude and
direction of the resultant displacement.
\begin{center}
\begin{asy}
import graph;
import Mechanics;

real u = 0.1cm;

Vector a = Vector((0,0), mag=20u, dir=90, "$\vect{A}$");
a.draw();
Vector b = Vector((0,0), mag=40u, dir=45, "$\vect{B}$");
b.draw();
Vector c = Vector((0,0), mag=30u, dir=-45, "$\vect{C}$");
c.draw();

xaxis("$x$");
yaxis("$y$");
\end{asy}
\end{center}
\end{problem*}

\begin{solution}
\end{solution}
