The force on an object is vec$($F$)=-12.$ For the vector vec$($v$)=2$vec$($i$)+4$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$)$ :