Find u × v and show that it is orthogonal to both u and v.

\mathbf { u } = ( 10,0,3 ) \quad \mathbf { v } = ( 10,0,0 )

\begin{array} { l } \mathbf { u } \times \mathbf { v } = ( 0,30,0 ) \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { u } = 0 \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { v } = 0\end{array}

\begin{array} { l } \mathbf { u } \times \mathbf { v } = ( 0 , - 30,0 ) \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { u } = 0 \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { v } = 0\end{array}

\begin{array} { l } \mathbf { u } \times \mathbf { v } = ( 0,30,0 ) \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { u } \neq 0 \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { v } \neq 0\end{array}

\begin{array} { l } \mathbf { u } \times \mathbf { v } = ( 30,0,0 ) \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { u } = 0 \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { v } = 0\end{array}

\begin{array} { l } \mathbf { u } \times \mathbf { v } = ( 0,0,30 ) \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { u } \neq 0 \\( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { v } \neq 0\end{array}

Find the General Form of the Equation of the Plane

Multiple Choice