Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:
The angle between the direction of \(\hat{i}\) and \(\hat{i}+\hat{j}\) is
Options:
\(45^{\circ}\)
\(180^{\circ}\)
\(0^{\circ}\)
\(90^{\circ}\)
Correct Answer:
\(45^{\circ}\)
Explanation:
\(\begin{aligned}\cos \theta &=\frac{\hat{i}\cdot (\hat{i}+\hat{j})}{|\hat{i}||\hat{i}+\hat{j}|}\\ &=\frac{1}{\sqrt{2}}\\ \text{So, }\theta &=45^{\circ}\end{aligned}\)