\[\vec {v}=\begin{bmatrix}2\\-1\\4\end{bmatrix};\quad \vec {w}=\begin{bmatrix}3\\-3\\1\end{bmatrix}\]
\[\vec {v}\times \vec {w}=\begin{bmatrix}\answer {11}\\\answer {10}\\\answer {-3}\end{bmatrix}\]
Which of the following is true about \(\vec {v}\times \vec {w}\)?
\(\norm {\vec {v}\times \vec {w}}\) is the product of \(\norm {\vec {v}}\) and \(\norm {\vec {w}}\). \(\vec {v}\times \vec {w}\) is parallel to
ONE of the original vectors. \(\vec {v}\times \vec {w}\) is orthogonal to ONE of the original vectors. \(\vec {v}\times \vec {w}\) is
orthogonal to BOTH of the original vectors.