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Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Vector Algebra
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$|\overrightarrow a\times\overrightarrow b|^2= ?$ (which one of the following )

$\begin{array}{1 1} (i)\:\:\left |\begin {array}{cc} \overrightarrow a.\overrightarrow a & \overrightarrow a.\overrightarrow a \\ \overrightarrow a.\overrightarrow b & \overrightarrow b.\overrightarrow b\end {array}\right| \:\:\: & (ii)\:\:\:\left |\begin {array}{cc} \overrightarrow a.\overrightarrow a & -\overrightarrow a.\overrightarrow a \\ \overrightarrow a.\overrightarrow b & \overrightarrow b.\overrightarrow b\end {array}\right| \:\:\:\\ (iii)\:\: \:\left |\begin {array}{cc} \overrightarrow a.\overrightarrow a & \overrightarrow a.\overrightarrow a \\ -\overrightarrow a.\overrightarrow b & \overrightarrow b.\overrightarrow b\end {array}\right| \:\:\: & (iv)\:\:\:\left |\begin {array}{cc} \overrightarrow a.\overrightarrow a & -\overrightarrow a.\overrightarrow a \\ \overrightarrow a.\overrightarrow b &- \overrightarrow b.\overrightarrow b\end {array}\right| \end{array} $

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