Find the dot product of $\mathbf { u }$ and $\mathbf { v }$.
$$\mathbf { u } = \langle - 8,7 , - 4 \rangle , \mathbf { v } = \langle 8,8,8 \rangle$$
A) $- 40$
B) 19
C) $\langle - 64,56 , - 32 \rangle$
D) 24
E) $\langle 0,15,4 \rangle$

Question

Quizplus · Accepted Answer

The dot product of two vectors $\mathbf{u} = \langle a_1, a_2, a_3 \rangle$ and $\mathbf{v} = \langle b_1, b_2, b_3 \rangle$ is calculated as $a_1b_1 + a_2b_2 + a_3b_3$. For $\mathbf{u} = \langle -8, 7, -4 \rangle$ and $\mathbf{v} = \langle 8, 8, 8 \rangle$, the dot product is $(-8)(8) + (7)(8) + (-4)(8) = -64 + 56 - 32 = -40$.

Find the Dot Product Of u\mathbf { u }u And v\mathbf { v }v

Find the Dot Product Of $\mathbf { u }$ And $\mathbf { v }$