If a and b are two vectors, then \[{{(\mathbf{a}\times \mathbf{b})}^{2}}\] equals [Roorkee 1975, 79, 81, 85]

\[\left| \,\begin{matrix} \mathbf{a}\,\,.\,\,\mathbf{b} \\ \mathbf{b}\,\,.\,\,\mathbf{a} \\ \end{matrix}\, \right|\]

\[\left| \,\begin{matrix} \mathbf{a}\,\,.\,\,\mathbf{b} & \mathbf{a}\,\,.\,\,\mathbf{a} \\ \mathbf{b}\,\,.\,\,\mathbf{b} & \mathbf{b}\,\,.\,\,\mathbf{a} \\ \end{matrix}\, \right|\]

\[\left| \,\begin{matrix} \mathbf{a}\,\,.\,\,\mathbf{a} & \mathbf{a}\,\,.\,\,\mathbf{b} \\ \mathbf{b}\,\,.\,\,\mathbf{a} & \mathbf{b}\,\,.\,\,\mathbf{b} \\ \end{matrix}\, \right|\]

If a and b are two vectors, then \[{{(\mathbf{a}\times \mathbf{b})}^{2

1.	If a and b are two vectors, then \[{{(\mathbf{a}\times \mathbf{b})}^{2}}\] equals [Roorkee 1975, 79, 81, 85]
A.	\[\left\| \,\begin{matrix} \mathbf{a}\,\,.\,\,\mathbf{b} & \mathbf{a}\,\,.\,\,\mathbf{a} \\ \mathbf{b}\,\,.\,\,\mathbf{b} & \mathbf{b}\,\,.\,\,\mathbf{a} \\ \end{matrix}\, \right\|\]
B.	\[\left\| \,\begin{matrix} \mathbf{a}\,\,.\,\,\mathbf{a} & \mathbf{a}\,\,.\,\,\mathbf{b} \\ \mathbf{b}\,\,.\,\,\mathbf{a} & \mathbf{b}\,\,.\,\,\mathbf{b} \\ \end{matrix}\, \right\|\]
C.	\[\left\| \,\begin{matrix} \mathbf{a}\,\,.\,\,\mathbf{b} \\ \mathbf{b}\,\,.\,\,\mathbf{a} \\ \end{matrix}\, \right\|\]
D.	None of these
Answer» C. \[\left\| \,\begin{matrix} \mathbf{a}\,\,.\,\,\mathbf{b} \\ \mathbf{b}\,\,.\,\,\mathbf{a} \\ \end{matrix}\, \right\|\]

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If a and b are two vectors, then \[{{(\mathbf{a}\times \mathbf{b})}^{2}}\] equals [Roorkee 1975, 79, 81, 85]

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