Answer
(a) Parallel and same direction.
(c) Parallel and same direction.
(d) Parallel.
(f) Parallel.
Work Step by Step
(a) since $\mathbf{v}=\langle 6,9\rangle=(1/2 )\langle 12,18\rangle $ then the vectors are parallel and in the same direction.
(c) since $\mathbf{v}=\langle 6,9\rangle=3\langle 2,3\rangle $ then the vectors are parallel and in the same direction.
(d) since $\mathbf{v}=\langle 6,9\rangle=-\langle 6,9\rangle $ then the vectors are parallel but in opposite directions.
(f) since $\mathbf{v}=\langle 6,9\rangle=-(1/4)\langle -24,-36\rangle $ then the vectors are parallel but in opposite direction.
The vectors in (b) and (e) are not scalar multiples of $v$, so they are neither parallel nor point in the same direction.
