Find u × v. $\mathbf { u } = ( - 5 , - 1 , - 1 ) , \quad \mathbf { v } = ( 4,3,0 )$
A) $( 3 , - 4 , - 11 )$
B)-23
C)-17
D) $( 3,4 , - 11 )$
E) $( - 20 , - 3,0 )$

Question

Find u × v.  $\mathbf { u } = ( - 5 , - 1 , - 1 ) , \quad \mathbf { v } = ( 4,3,0 )$ 
A) $( 3 , - 4 , - 11 )$
B)-23
C)-17
D) $( 3,4 , - 11 )$
E) $( - 20 , - 3,0 )$

Quizplus · Accepted Answer

The cross product of two vectors $\mathbf{u} = (a_1, a_2, a_3)$ and $\mathbf{v} = (b_1, b_2, b_3)$ is given by $\mathbf{u} \times \mathbf{v} = (a_2b_3 - a_3b_2, a_3b_1 - a_1b_3, a_1b_2 - a_2b_1)$. Applying this formula to $\mathbf{u} = (-5, -1, -1)$ and $\mathbf{v} = (4, 3, 0)$, we get $\mathbf{u} \times \mathbf{v} = ((-1)(0) - (-1)(3), (-1)(4) - (-5)(0), (-5)(3) - (-1)(4)) = (3, -4, -11)$.

Find U × V u=(−5,−1,−1),v=(4,3,0)\mathbf { u } = ( - 5 , - 1 , - 1 ) , \quad \mathbf { v } = ( 4,3,0 )u=(−5,−1,−1),v=(4,3,0)

Find U × V $\mathbf { u } = ( - 5 , - 1 , - 1 ) , \quad \mathbf { v } = ( 4,3,0 )$