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Applications of Cross Product

Which of the ...

Question

Which of the following is a true statement.

\to a \times \to b) \times \to c

is coplanar with

\to c

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(\to a \times \to b) \times \to c

is perpendicular to

\to a

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(\to a \times \to b) \times \to c

is perpendicular to

\to b

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(\to a \times \to b) \times \to c

is perpendicular to

\to c

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Solution

The correct option is C $(\to a \times \to b) \times \to c$ is perpendicular to $\to c$
We know that $\to a \times \to b$ is perpendicular to both $\to a$ and $\to b$
Hence $(\to a \times \to b) \times \to c$ is perpendicular to both $\to a \times \to b$ and $\to c$

Suggest Corrections

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