Derive an expression for cross product of two vectors and express it in determinanat form?
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The cross-product and determinants
The cross-product of vectors: $\underline{V} = [v_1,v_2,v_3]$, $\underline{W} = [w_1,w_2, w_3]$ is written $\underline{V}\times
\underline{W}$.
It is defined only for three dimensional vectors and is given as follows:
\begin{displaymath}\underline{V}\times
\underline{W} \hspace{7pt}=
\hspace{7pt}[...
...rray}{\vert cc\vert}v_1&v_2\\ w_1&w_2\end{array}\hspace{7pt}], \end{displaymath}
= [v2w3 - v3w2, v3w1 - v1w3, v1w2 - v2w1].
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