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\[
\begin{array}{l}
\text { Let } \vec{a}(x)=(\sin x) \hat{i}+(\cos x) \hat{j} \text { and } \\
\vec{b}(x)=(\cos 2 x) \hat{i}+(\sin 2 x) \hat{j}
\end{array}
\]
be two variable vectors \( (x \in R) \), then \( \vec{a}(x) \) and \( \vec{b}(x) \)
(A) collinear for unique value of \( x \)
(B) perpendicular for infinitely many values of \( x \)
(C) zero vectors for unique value of \( x \)
(D) none of these
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