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.