Vectors Question 217

Question: Which of the following is a unit vector?

Options:

A) $ \hat{i}+,\hat{j} $

B) $ \cos ,\theta \hat{i}-\sin ,\theta \hat{j} $

C) $ \sin ,\theta \hat{i}+2,x\cos \theta \hat{j} $

D) $ \frac{1}{\sqrt{3}},(\hat{i}+,\hat{j}) $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Let $ \vec{A}=,\cos \theta \hat{i}-\sin ,\theta \hat{j} $
$ \

Therefore $ $ ,|\vec{A}|=,\sqrt{{{\cos }^{2}}\theta +,{{\sin }^{2}}\theta }=1 $

Therefore, it is a unit vector.