Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

Find the projection of a vector i + j on i + j.

Options:

\(\sqrt { 2}\)

\(\sqrt { 3}\)

2

\(\sqrt { 7}\)

Correct Answer:

\(\sqrt { 2}\)

Explanation:
\(\begin{aligned}\text{Projection}&=\frac{(\hat{i}+\hat{j})\cdot (\hat{i}+\hat{j})}{|\hat{i}+\hat{j}|}\\ &=\frac{2}{\sqrt{2}}\\ &=\sqrt{2}\end{aligned}\)