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}) $
Correct Answer: B [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.Show Answer
Answer:
Solution:
$ \