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If ` vec A , vec B and vec C` are non-zero vectors and ` ec A. vec B=0 and vec B. vec C=0`, then find out the value ` vec A .vec B`

Answer» As ` vec A. vec B=0` ,
:. ` AB cos theta =0 or theta =0 or theta_(1) =90^(@)`,
Similarly , ` vec B. vec C=0 ,
:. BC cos theta _(1) =0 or cos theta =0 or theta_(1) =0 or theta _(1) =90^(@),
i.e ` vec A and vec C` are parallel to each other.
:. vec A. vec C = AC cos 0^(@) = AC.


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