Determine whether u are v and orthogonal, parallel, or neither. $\mathbf { u } = \langle - 1,5 \rangle , \mathbf { v } = \langle - 10 , - 3 \rangle$
A)neither
B)orthogonal
C)parallel

Question

Quizplus · Accepted Answer

Vectors are orthogonal if their dot product is zero. The dot product of u and v is $(-1)(-10) + (5)(-3) = 10 - 15 = -5$, which is not zero. Vectors are parallel if one is a scalar multiple of the other. There is no scalar $k$ such that $\langle -1, 5 \rangle = k \langle -10, -3 \rangle$. Therefore, the vectors are neither orthogonal nor parallel.

Determine Whether U Are V and Orthogonal, Parallel, or Neither u=⟨−1,5⟩,v=⟨−10,−3⟩\mathbf { u } = \langle - 1,5 \rangle , \mathbf { v } = \langle - 10 , - 3 \rangleu=⟨−1,5⟩,v=⟨−10,−3⟩

Determine Whether U Are V and Orthogonal, Parallel, or Neither $\mathbf { u } = \langle - 1,5 \rangle , \mathbf { v } = \langle - 10 , - 3 \rangle$