1.

If a, b, c are mutually perpendicular vectors of equal magnitudes, then the angle between the vectors a and \[\mathbf{a}+\mathbf{b}+\mathbf{c}\] is

A. \[\frac{\pi }{3}\]
B. \[\frac{\pi }{6}\]
C. \[{{\cos }^{-1}}\frac{1}{\sqrt{3}}\]
D. \[\frac{\pi }{2}\]
Answer» D. \[\frac{\pi }{2}\]


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