Find $\mathbf { u } \times \mathbf { v }$.
$$\mathbf { u } = \langle 3 , - 7 , - 1 \rangle , \mathbf { v } = \langle - 9,4 , - 4 \rangle$$
A) $\langle 32,21 , - 51 \rangle$
B) $- 51$
C) 5
D) $\langle 32 , - 21 , - 51 \rangle$
E) $\langle - 27 , - 28,4 \rangle$

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 $\langle 32,21 , - 51 \rangle$.

Find u×v\mathbf { u } \times \mathbf { v }u×v u=⟨3,−7,−1⟩,v=⟨−9,4,−4⟩\mathbf { u } = \langle 3 , - 7 , - 1 \rangle , \mathbf { v } = \langle - 9,4 , - 4 \rangleu=⟨3,−7,−1⟩,v=⟨−9,4,−4⟩

Find $\mathbf { u } \times \mathbf { v }$ $\mathbf { u } = \langle 3 , - 7 , - 1 \rangle , \mathbf { v } = \langle - 9,4 , - 4 \rangle$