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if a , b , c are the position vectors of points A,B,C.... then show that
Asked by | 20 Feb, 2009, 05:15: PM Expert Answer

we know that if A,B,C are vector in same plane then A . (BΧC) = 0    [called box of ABC = 0 ]

becoz vector (BΧC) is perpendicular to the BC plane

now take dot product with a of above expression we get  a. [ a x b +b x c+c x a ] = [ 0 + box of abc + 0 ]  = 0

Answered by | 22 Feb, 2009, 12:21: PM

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