The area of the parallelogram whose diagonals are \[\frac{3}{2}\mathbf{i}+\frac{1}{2}\mathbf{j}-\mathbf{k}\] and \[2\mathbf{i}-6\mathbf{j}+8\mathbf{k}\] is [UPSEAT 2002]

\[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}=bc+ca+ab\]

\[({{a}^{2}}+ab,\,{{b}^{2}}+ab,\,-ab)\]

\[(-bc,\,{{b}^{2}}+bc,\,{{c}^{2}}+bc),\]

The area of the parallelogram whose diagonals are \[\frac{3}{2}\math

1.	The area of the parallelogram whose diagonals are \[\frac{3}{2}\mathbf{i}+\frac{1}{2}\mathbf{j}-\mathbf{k}\] and \[2\mathbf{i}-6\mathbf{j}+8\mathbf{k}\] is [UPSEAT 2002]
A.	\[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}=bc+ca+ab\]
B.	\[5\sqrt{2}\]
C.	\[({{a}^{2}}+ab,\,{{b}^{2}}+ab,\,-ab)\]
D.	\[(-bc,\,{{b}^{2}}+bc,\,{{c}^{2}}+bc),\]
Answer» B. \[5\sqrt{2}\]

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The area of the parallelogram whose diagonals are \[\frac{3}{2}\mathbf{i}+\frac{1}{2}\mathbf{j}-\mathbf{k}\] and \[2\mathbf{i}-6\mathbf{j}+8\mathbf{k}\] is [UPSEAT 2002]

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