Question
Fri February 20, 2009 By:

if a , b , c are the position vectors of points A,B,C.... then show that

Expert Reply
Sun February 22, 2009

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

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