6. Show if that Á + B=|A – B| then A and B are perpendicular

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6. Show if that |Ã + B|=|Ã – B| then A and B are
perpendicular
Transcribed Image Text:6. Show if that |Ã + B|=|Ã – B| then A and B are perpendicular
Expert Solution
Step 1

Given that

A+B=A-B

Assume that angle between A nad B is θ

square both sides

A+B2=A-B2A2+B2+2ABcosθ=A2+B2-2ABcosθ4ABcosθ==so,cosθ=0θ=cos-10θ=90°

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