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
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.
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