Given $\mathbf { u } = \langle - 3,7 \rangle$ and $\mathbf { v } = \langle 1 , - 5 \rangle$, find $\mathbf { u } \cdot \mathbf { v }$.
A) 32
B) -3
C)-38
D) 22
E) 8

Question

Quizplus · Accepted Answer

The dot product of two vectors is the sum of the product of their corresponding components. Hence, we have $\mathbf { u } \cdot \mathbf { v } = (-3)(1) + (7)(-5) = -3-35 = \boxed{-38}$.

Given u=⟨−3,7⟩\mathbf { u } = \langle - 3,7 \rangleu=⟨−3,7⟩ And v=⟨1,−5⟩\mathbf { v } = \langle 1 , - 5 \ranglev=⟨1,−5⟩

Given $\mathbf { u } = \langle - 3,7 \rangle$ And $\mathbf { v } = \langle 1 , - 5 \rangle$