1 answer:
Let A=ia1 + ja2 + ka3 B= ib1 +jb2 =kb3 and C=ic1 + jc2 +kc3 B.C =b1c1 + b2c2 +b3c3 is a scaler and so A.(B.C) = (b1c1 + b2c2 +b3c3)(ia1 +ja2 +ka3) A.(B.C) = ia1b1c1 +ja2b2c2 +ka3b3c3 . . . . . . . . . . .(1) A.B = a1b1 + a2b2 +a3c3 is a scaler and (A.B).C = (a1b1 + a2b2 +a3c3)(ic1 + jc2 +kc3) (A.B).C = ia1b1c1 + ja2b2c2 + ka3b3c3 . . . . . . . . . . (2) RHS’s of (1) and (2) are identical and so the LHS’s should be equal and hence it follows that A.(B.C) = (A.B).C
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