A) \[\overrightarrow{b}\]
B) \[\overrightarrow{c}\]
C) \[\overrightarrow{b}\,.\,\overrightarrow{c}\]
D) \[\overrightarrow{b}\times \overrightarrow{c}\]
Correct Answer: D
Solution :
\[\vec{a}\,.\,\vec{b}=0\]i.e. \[\vec{a}\]and \[\vec{b}\]will be perpendicular to each other \[\vec{a}\,.\,\vec{c}=0\]i.e. \[\vec{a}\]and \[\vec{c}\]will be perpendicular to each other \[\vec{b}\times \vec{c}\]will be a vector perpendicular to both \[\vec{b}\] and\[\vec{c}\] So \[\vec{a}\]is parallel to \[\vec{b}\times \vec{c}\]
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