Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

If \(0\cdot 4\hat{i}+0\cdot 7\hat{j}+c\hat{k}\) is a unit vector, then the value of \(c\) is

Options:

\(\sqrt{0.35}\)

\(\sqrt{1.44}\)

\(\sqrt{0.12}\)

\(\sqrt{0.67}\)

Correct Answer:

\(\sqrt{0.35}\)

Explanation:
\(\begin{aligned}\sqrt{(0.4)6{2}+(0.7)^{2}+c^{2}}&=1\\ c&=\sqrt{0.35}\end{aligned}\)