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IF |bara+barb|=|bara-barb| then prove th...

IF `|bara+barb|=|bara-barb|` then prove that the vectors `bara and barb` are perpendicular to each other.

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Knowledge Check

  • The vectors bara,barb and bara+barb are

    A
    Collinear
    B
    Coplanar
    C
    Non-coplanar
    D
    Non-collinear

  • If bara and barb are unit vectors such that bara + 2barb and 5bara- 4barb are perpendicular to each other, then the angle between bara and barb is

    A
    `45^(@)`
    B
    `60^(@)`
    C
    `cos^(-1)(1/3)`
    D
    `cos^(-1)(2/7)`

  • If bara and barb are non-collinear vectors, then

    A
    only `bara=bar0`
    B
    only `barb=bar0`
    C
    both `baranebar0` and `barb ne bar0`
    D
    both `bara=barb=bar0`

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