Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

The projection of the vector \(\hat{i}-\hat{j}\) on the vector \(\hat{i}+\hat{j}\) is

Options:

\(\frac{60}{\sqrt{114}}\)

\(\frac{30}{\sqrt{114}}\)

\(0\)

\(\frac{15}{\sqrt{114}}\)

Correct Answer:

\(0\)

Explanation:
\(\begin{aligned}\text{Projection}&=\frac{(\hat{i}-\hat{j})\cdot (\hat{i}+\hat{j})}{|\hat{i}+\hat{j}|}\\ &=0\end{aligned}\)