Find U × V and Show That It Is Orthogonal

Multiple Choice

Find u × v and show that it is orthogonal to both u and v.
$\begin{array} { l } \mathbf { u } = \frac { 5 } { 7 } \mathbf { i } \\\mathbf { v } = \frac { 6 } { 7 } \mathbf { j } - 49 \mathbf { k }\end{array}$

A) $\begin{array} { l } \mathbf { u } \times \mathbf { v } = - 35 \mathbf { i } + \frac { 30 } { 49 } \mathbf { j } \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { u } = 0 \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { u } = 0\end{array}$
B) $\begin{array} { l } \mathbf { u } \times \mathbf { v } = 35 \mathrm { i } - \frac { 30 } { 49 } \mathbf { k } \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { u } = 0 \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { u } = 0\end{array}$
C) $\begin{array} { l } \mathbf { u } \times \mathbf { v } = 35 \mathbf { i } + \frac { 30 } { 49 } \mathbf { k } \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { u } = 0 \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { u } = 0\end{array}$
D) $\begin{array} { l } \mathbf { u } \times \mathbf { v } = 35 \mathbf { i } + \frac { 30 } { 49 } \mathbf { j } \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { u } = 0 \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { u } = 0\end{array}$
E) $\begin{array} { l } \mathbf { u } \times \mathbf { v } = 35 \mathbf { j } + \frac { 30 } { 49 } \mathbf { k } \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { u } = 0 \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { u } = 0\end{array}$