If a.b=a.c then how a is perpendicular to b-c?

#Mathematics #Class 12

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If a.b=a.c then how a is perpendicular to b-c?

Joshua 13th Apr, 2019

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Answer (1)

Mayukh Sur 15th Apr, 2019

a.b=a.c

Therefore, a.b-a.c=0

a.(b-c)=0

|a|*|b-c|* cos θ=0

cos θ=0

Or angle is 90 degress.

Hence a will be perpendicular to b-c

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