Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

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

Options:

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

Correct Answer:

equally inclined to both $\vec a×\vec b$ and $\vec c×\vec d$

Explanation:

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 $\vec c×\vec d$.