Let V = (0,3,2) and A = (-1,0,1). Let P be the point on the line passing through A with direction vector (1,1,1) that is closest to V. Find P.
Hint: If you project the vector \(\overrightarrow{AV}\) onto the line, take the projection as \(\overrightarrow{p}\), \(\overrightarrow{p}\) is actually \(\overrightarrow{OP} - \overrightarrow{OA}\).
