If \overrightarrow{a} and \overrightarrow{b} are two vectors such that \overrightarrow{a} \cdot \overrightarrow{b} =0 and \overrightarrow{a} \times \overrightarrow{b}=\overrightarrow{0}, then which one of the following is correct?

Correct Answer is : Either →a or →b is a null vector

\overrightarrow{a} is parallel to \overrightarrow{b}

\overrightarrow{a} is perpendicular to \overrightarrow{b}

Either \overrightarrow{a} or \overrightarrow{b} is a null vector

UPSC NDA II 2011 Mathematics Paper

Question : 29 of 120

Marks: +1, -0

→

and

→

are two vectors such that

→

⋅

→

=0 and

→

, then which one of the following is correct?

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