A) a lion-zero vector
B) 1
C) \[-1\]
D) \[|a|\,|b|\,|c|\]
Correct Answer: D
Solution :
\[a.(b\times c)=|a|b\times c|\cos \theta ,\theta =0\]or \[\pi \] (\[\because \]\[a.b=b.c=c.a=0,\]therefore, a,b,c are mutually at right angles and hence\[b\times c\] is parallel to a) \[\therefore \] \[a.(b\times c)=|a|(|b||c|\sin 90{}^\circ )\] \[=|a||b||c|\]
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