Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

Let $\vec{a}, \vec{b}, \vec{c}$ be three unit vectors such that $\vec{a}+5 \vec{b}+3 \vec{c}=\vec{0}$ Then $\vec{a} .(\vec{b} \times \vec{c})$ is equal to:

Options:

$\vec{a} . \vec{b}$

$\vec{a} . (\vec{b}+2 \vec{c})$

$\vec{b} . (\vec{a}+\vec{c})$

None of these

Correct Answer:

None of these

Explanation:

$\vec{a}+5 \vec{b}+3 \vec{c}=\vec{0}$

Thus $\vec{a}, \vec{b}, \vec{c}$ are coplaner.

Hence $\vec{a} .(\vec{b} \times \vec{c})=0$

Hence (4) is correct answer.