Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

If the vectors $\vec a,\vec b,\vec c$ and $\vec d$ are coplanar vectors, then $(\vec a×\vec b)×(\vec c×\vec d)$ is equal to

Options:

$\vec a+\vec b+\vec c+\vec d$

$\vec 0$

$\vec a+\vec b=\vec c+\vec d$

none of these

Correct Answer:

$\vec 0$

Explanation:

Clearly, $\vec a×\vec b$ is parallel to $\vec c×\vec d$.

$∴(\vec a×\vec b)×(\vec c×\vec d)=\vec 0$