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If A, B, P, Q and R are the five points ...

If A, B, P, Q and R are the five points in a plane, then show that the sum of the vectors
`vec(AP), vec(AQ), vec(AR), vec(PB), vec(QB)` and `vec(RB)` is `3 vec(AB)`.

Answer

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Knowledge Check

  • For the non-zero vectors vec(a),vec(b) and vec(c ),vec(a)*(vec(b)xxvec(c ))=0 , if

    A
    `vec(b) bot vec(c )`
    B
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    C
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