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If, $\vec a,\vec b,\vec c,\vec d$ are any four vectors, then $(\vec a×\vec b) × (\vec c×\vec d)$ is a vector |
perpendicular to $\vec a,\vec b,\vec c,\vec d$ equally inclined to $\vec a,\vec b,\vec c,\vec d$ equally inclined to both $\vec a×\vec b$ and $\vec c×\vec d$ none of these |
equally inclined to both $\vec a×\vec b$ and $\vec c×\vec d$ |
Clearly $(\vec a×\vec b) × (\vec c×\vec d)$ is perpendicular to both $\vec a×\vec b$ and $\vec c×\vec d$. Hence, $(\vec a×\vec b) × (\vec c×\vec d)$ is equally inclined to both $\vec a×\vec b$ and $\vec c×\vec d$. |
