Question

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Updated on : 2022-09-05

Solution

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Volume of parallelopiped=$abc$

Let $n^$ be a unit vector perpendicular to both $b$ and $c$. Hence $n^$ and $c$ have the same direction.

Therefore, $b×c=bcsinθn^$$=bcn^$

$a.(b×c)=a.(bcn^)$

$=abc=$ Volume of parallelopiped

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