Choose the one alternative that best completes the statement or answers the question.
-Which of the following vectors is parallel to $\mathbf { v } = - 10 \mathbf { i } - 8 \mathbf { j }$ ?
A) $w = 20 i + 16 i$
B) $w = 3 i - 5 j$
C) $w = - 20 i + 25 \mathrm { j }$
D) $w = 4 i + 4 j$

Question

Quizplus · Accepted Answer

Two vectors are parallel if they are scalar multiples of each other. Option A, $w = 20i + 16j$, is a scalar multiple of $\mathbf{v} = -10\mathbf{i} - 8\mathbf{j}$ (multiplied by -2), making it parallel to $\mathbf{v}$.

Choose the One Alternative That Best Completes the Statement or Answers