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If vec(a)*vec(b)=vec(c)*vec(a) for all v...

If `vec(a)*vec(b)=vec(c)*vec(a)` for all vectors `vec(a)`, then

A

`vec(a)bot(vec(b)-vec(c))`

B

`vec(b)-vec(c)=vec(0)`

C

`vec(b)!=vec(c)`

D

`vec(b)+vec(c)=vec(0)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If vec(a),vec(b) and vec(c) are non - zero vectors, then vec(a)xxvec(b)=vec(a)xxvec(c)hArr . . . .

    A
    `vec(a)=vec(c)`
    B
    `vec(a)||(vec(b)-vec(c))`
    C
    `vec(b)||vec(c)`
    D
    `vec(b)botvec(c)`

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