Construct oriented cross products, normals and exact areas
Use a right-handed orthonormal i,j,k basis. Retain the stated cross-product order and exact values
Find the stated scaled cross product. The order inside the two factors matters
\[\mathbf a=\begin{pmatrix}4\\1\\3\end{pmatrix},\qquad\mathbf b=\begin{pmatrix}3\\-1\\-4\end{pmatrix}\]
\[(3\mathbf a)\times(0\mathbf b)\]