Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

The unit vector in xy-plane, making an angle of 60° with the positive direction of x-axis is :

Options:

$\frac{1}{2}\hat{i}-\frac{\sqrt{3}}{2}\hat{j}$

$\frac{\sqrt{3}}{2}\hat{i}+\frac{1}{2}\hat{j}$

$\frac{1}{2}\hat{i}+\frac{\sqrt{3}}{2}\hat{j}$

$\frac{\sqrt{3}}{2}\hat{i}-\frac{1}{2}\hat{j}$

Correct Answer:

$\frac{1}{2}\hat{i}+\frac{\sqrt{3}}{2}\hat{j}$

Explanation:

The correct answer is Option (3) → $\frac{1}{2}\hat{i}+\frac{\sqrt{3}}{2}\hat{j}$

so $\hat v=\sin 60°\hat j+\cos 60°\hat i$

$\hat v=\frac{1}{2}\hat i+\frac{\sqrt{3}}{2}\hat j$