Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

The vectors \(2\hat{i}+\hat{j}-\hat{k}\) is perpendicular to \(\hat{i}-4\hat{j}+\lambda \hat{k}\), if \(\lambda\) is equal to

Options:

\(0\)

\(-1\)

\(-2\)

\(-3\)

Correct Answer:

\(-2\)

Explanation:
\(\begin{aligned}\left(2\hat{i}+\hat{j}-\hat{k}\right)\cdot \left(\hat{i}-4\hat{j}+\lambda \hat{k}\right)&=0\\ 2-4-\lambda&=0\\ \lambda &=-2\end{aligned}\)