1.

If \(\left| {\vec a + \vec b} \right| = \left| {\vec a - \vec b} \right|\), then which one of the following is correct?

A. \(\vec a = \lambda \vec b\) for some scalar λ
B. \(\vec a\) is parallel to \(\vec b\)
C. \(\vec a\) is perpendicular to \(\vec b\)
D. \(\vec a = \vec b = \vec 0\)
Answer» D. \(\vec a = \vec b = \vec 0\)


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