Vector Algebra Question 102
Question: Which of the following is not a unit vector for all values of q
Options:
A) $ (\cos \theta )\mathbf{i}-(\sin \theta ),\mathbf{j} $
B) $ (\sin \theta ),\mathbf{i}+(\cos \theta ),\mathbf{j} $
C) $ (\sin 2\theta ),\mathbf{i}-(\cos \theta ),\mathbf{j} $
D) $ (\cos 2\theta ),\mathbf{i}-(\sin 2\theta ),\mathbf{j} $
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Answer:
Correct Answer: C
Solution:
- Since $ {{\sin }^{2}}2\theta +{{\cos }^{2}}\theta $ is not equal to one necessarily.