Asked by  | 15th Jun, 2009, 12:28: AM

Expert Answer:

a . b = a. c

Hence, a.(b-c)=0 ...(1)


a X b = a X c


a X (b- c)=0...(2)

From (1) and (2) both vectors a and b-c are perpendicular as well as parallel. It implies either of them is a zero vector. As a is a non zero vector, b-c=0 Hence b=c.

Answered by  | 15th Jun, 2009, 03:11: AM

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