Find a Unit Vector Orthogonal to U and V $\begin{array} { l } \mathbf { u } = \mathbf { i } + \mathbf { j } \\\mathbf { v } = \mathbf { j } + \mathbf { k }\end{array}$

Multiple Choice

Find a unit vector orthogonal to u and v. $\begin{array} { l } \mathbf { u } = \mathbf { i } + \mathbf { j } \\\mathbf { v } = \mathbf { j } + \mathbf { k }\end{array}$

A) $\text { Unit vector } = \frac { \sqrt { 3 } } { 3 } ( - \mathbf { i } - \mathbf { j } + \mathbf { k } )$
B) $\text { Unit vector } = \frac { \sqrt { 3 } } { 3 } ( - \mathrm { i } + \mathbf { j } + \mathbf { k } )$
C) $\text { Unit vector } = \frac { \sqrt { 3 } } { 3 } ( \mathbf { i } - \mathbf { j } - \mathbf { k } )$
D) $\text { Unit vector } = \frac { \sqrt { 3 } } { 3 } ( \mathbf { i } - \mathbf { j } + \mathbf { k } )$
E) $\text { Unit vector } = \frac { \sqrt { 3 } } { 3 } ( \mathbf { i } + \mathbf { j } + \mathbf { k } )$