A) a is parallel to b
B) a is perpendicular to b
C) Either a or b is a null vector
D) None of these
Correct Answer: C
Solution :
\[\mathbf{a}.\mathbf{b}=0\Rightarrow \mathbf{a}\,\bot \,\mathbf{b}\] or \[\mathbf{a}=\mathbf{0}\]or \[\mathbf{b}=\mathbf{0}\] and \[\mathbf{a}\times \mathbf{b}=\mathbf{0}\Rightarrow \mathbf{a}||\mathbf{b}\] or \[\mathbf{a}=\mathbf{0}\] or \[\mathbf{b}=\mathbf{0}\] Hence, either \[\mathbf{a}\]or \[\mathbf{b}\] is a null vector.
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