# Physics

The sum & difference of two non-zero vectors Ä & B are equal in magnitude.what can you conclude about these vectors?why?

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1. Sum A+B
difference=A-B

maginitude sum=ABcosTheta
magnitude difference=ABcos(PI-Theta)

setting them equal, then cosTheta=cos(PI-Theta)

costheta=sinThetasinPI-cosThetaCosPI
cosTheta=sinTheta+cosTheta
which makes sense only if theta is zero or PI. The vectors A,B are colinear

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bobpursley
2. PERPENDICULAR

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3. A& B are perpendicular to each other

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4. Both are perpendicular

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