Find a Unit Vector Orthogonal to U and V A) $\frac { 1 } { \sqrt { 1625 } } ( ( - 5 ) \mathbf { i } + ( 0 ) \mathbf { j } + ( - 40 ) \mathbf { k } )$

Multiple Choice

Find a unit vector orthogonal to u and v. $\mathbf { u } = ( - 2 ) \mathbf { i } + ( 8 ) \mathbf { j } + ( - 1 ) \mathbf { k } \quad \mathbf { v } = ( 3 ) \mathbf { i } + ( 8 ) \mathbf { j } + ( - 1 ) \mathbf { k }$

A) $\frac { 1 } { \sqrt { 1625 } } ( ( - 5 ) \mathbf { i } + ( 0 ) \mathbf { j } + ( - 40 ) \mathbf { k } )$
B) $45 ( ( 0 ) \mathbf { i } + ( - 5 ) \mathbf { j } + ( - 40 ) \mathbf { k } )$
C) $1625 ( ( 0 ) \mathbf { i } + ( - 5 ) \mathbf { j } + ( - 40 ) \mathbf { k } )$
D) $\frac { 1 } { \sqrt { 45 } } ( ( - 5 ) \mathbf { i } + ( 0 ) \mathbf { j } + ( - 40 ) \mathbf { k } )$
E) $\frac { 1 } { \sqrt { 1625 } } ( ( 0 ) \mathbf { i } + ( - 5 ) \mathbf { j } + ( - 40 ) \mathbf { k } )$