The force on an object is $\vec F = -22\,\mathit{\vec j}$. For the vector $\vec v = \,\mathit{\vec i}-3\,\mathit{\vec j}$, find:

(a) The component of $\vec F$ parallel to $\vec v$:

(b) The component of $\vec F$ perpendicular to $\vec v$:

The work, $W$, done by force $\vec F$ through displacement $\vec v$: