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March 28, 2017

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

  • Physics - ,

    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

  • PHYSICS - ,

    PERPENDICULAR

  • Physics - ,

    A& B are perpendicular to each other

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