Determine whether the vectors u and v are parallel, orthogonal, or neither.
-$$\mathbf { u } = \langle 9,6 \rangle , \mathbf { v } = \langle 45,30 \rangle$$
A) Neither
B) Orthogonal
C) Parallel

Question

Quizplus · Accepted Answer

Two vectors are parallel if one is a scalar multiple of the other. Here, $\mathbf{v} = 5\mathbf{u}$ since $45 = 5 \times 9$ and $30 = 5 \times 6$, indicating that $\mathbf{u}$ and $\mathbf{v}$ are parallel.

Determine Whether the Vectors U and V Are Parallel, Orthogonal u=⟨9,6⟩,v=⟨45,30⟩\mathbf { u } = \langle 9,6 \rangle , \mathbf { v } = \langle 45,30 \rangleu=⟨9,6⟩,v=⟨45,30⟩

Determine Whether the Vectors U and V Are Parallel, Orthogonal $\mathbf { u } = \langle 9,6 \rangle , \mathbf { v } = \langle 45,30 \rangle$