Find u × v. $\mathbf { u } = ( 2 ) \mathbf { i } + ( - 2 ) \mathbf { j } + ( - 6 ) \mathbf { k } , \quad \mathbf { v } = ( - 9 ) \mathbf { i } + ( - 3 ) \mathbf { j } + ( - 7 ) \mathbf { k }$
A) $( - 4 ) \mathbf { i } + ( 68 ) \mathbf { j } + ( - 24 ) \mathbf { k }$
B)30
C)18
D) $( - 4 ) \mathbf { i } + ( - 68 ) \mathbf { j } + ( - 24 ) \mathbf { k }$
E) $( - 18 ) \mathbf { i } + ( 6 ) \mathbf { j } + ( 42 ) \mathbf { k }$

Question

Find u × v.  $\mathbf { u } = ( 2 ) \mathbf { i } + ( - 2 ) \mathbf { j } + ( - 6 ) \mathbf { k } , \quad \mathbf { v } = ( - 9 ) \mathbf { i } + ( - 3 ) \mathbf { j } + ( - 7 ) \mathbf { k }$ 
A) $( - 4 ) \mathbf { i } + ( 68 ) \mathbf { j } + ( - 24 ) \mathbf { k }$
B)30
C)18
D) $( - 4 ) \mathbf { i } + ( - 68 ) \mathbf { j } + ( - 24 ) \mathbf { k }$
E) $( - 18 ) \mathbf { i } + ( 6 ) \mathbf { j } + ( 42 ) \mathbf { k }$

Quizplus · Accepted Answer

The cross product of two vectors $\mathbf{u} \times \mathbf{v}$ is calculated using the determinant of a matrix formed by the unit vectors $\mathbf{i}, \mathbf{j}, \mathbf{k}$ and the components of $\mathbf{u}$ and $\mathbf{v}$. The result is $( - 4 ) \mathbf { i } + ( 68 ) \mathbf { j } + ( - 24 ) \mathbf { k }$.

Find U × V A) (−4)i+(68)j+(−24)k( - 4 ) \mathbf { i } + ( 68 ) \mathbf { j } + ( - 24 ) \mathbf { k }(−4)i+(68)j+(−24)k

Find U × V A) $( - 4 ) \mathbf { i } + ( 68 ) \mathbf { j } + ( - 24 ) \mathbf { k }$