Find a Unit Vector Orthogonal to U and V A) $\frac { 1 } { \sqrt { 11574 } } ( ( 66 ) \mathbf { i } + ( 57 ) \mathbf { j } + ( 57 ) \mathbf { k } )$

Multiple Choice

Find a unit vector orthogonal to u and v.
$\mathbf { u } = ( 9 ) \mathbf { i } + ( - 3 ) \mathbf { j } + ( - 6 ) \mathbf { k } , \quad \mathbf { v } = ( - 2 ) \mathbf { i } + ( 8 ) \mathbf { j } + ( - 5 ) \mathbf { k }$

A) $\frac { 1 } { \sqrt { 11574 } } ( ( 66 ) \mathbf { i } + ( 57 ) \mathbf { j } + ( 57 ) \mathbf { k } )$
B) $- \frac { 1 } { \sqrt { 186 } } ( ( 63 ) \mathbf { i } + ( 57 ) \mathbf { j } + ( 66 ) \mathbf { k } )$
C) $- \frac { 1 } { \sqrt { 11574 } } ( ( 63 ) \mathbf { i } + ( 57 ) \mathbf { j } + ( 66 ) \mathbf { k } )$
D) $\frac { 1 } { \sqrt { 11574 } } ( ( 63 ) \mathbf { i } + ( 57 ) \mathbf { j } + ( 66 ) \mathbf { k } )$
E) $\frac { 1 } { \sqrt { 186 } } ( ( 57 ) \mathbf { i } + ( 66 ) \mathbf { j } + ( 66 ) \mathbf { k } )$