Find $\mathbf { u } \times \mathbf { v }$.
$$\mathbf { u } = \langle - 1 , - 2,1 \rangle , \mathbf { v } = \langle - 8 , - 1 , - 8 \rangle$$
A) $\langle 17 , - 16 , - 15 \rangle$
B) 2
C) $- 2$
D) $\langle 17,16 , - 15 \rangle$
E) $\langle 8,2 , - 8 \rangle$

Question

Quizplus · Accepted Answer

The cross product $\mathbf { u } \times \mathbf { v }$ is calculated using the determinant of a matrix formed by the unit vectors $\mathbf{i}, \mathbf{j}, \mathbf{k}$ and the components of vectors $\mathbf{u}$ and $\mathbf{v}$. The result is $\langle 17 , - 16 , - 15 \rangle$.

Find u×v\mathbf { u } \times \mathbf { v }u×v u=⟨−1,−2,1⟩,v=⟨−8,−1,−8⟩\mathbf { u } = \langle - 1 , - 2,1 \rangle , \mathbf { v } = \langle - 8 , - 1 , - 8 \rangleu=⟨−1,−2,1⟩,v=⟨−8,−1,−8⟩

Find $\mathbf { u } \times \mathbf { v }$ $\mathbf { u } = \langle - 1 , - 2,1 \rangle , \mathbf { v } = \langle - 8 , - 1 , - 8 \rangle$