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If the vectors veca,vecb,vecc form the s...

If the vectors `veca,vecb,vecc` form the sides BC,CA and AB respectively of a triangle ABC then (A) `veca.(vecbxxvecc)=vec0` (B) `vecaxx(vecbxvecc)=vec0` (C) `veca.vecb=vecc=vecc=veca.a!=0` (D) `vecaxxvecb+vecbxxvecc+veccxxvecavec0`

A

`veca.vecb+vecb.vecc+vecc.veca=0`

B

`vecaxxvecb=vecbxxvecc=veccxxveca`

C

`veca.vecb=vecb.vecc=vecc.veca`

D

`vecaxxvecb+vecbxxveccxxveca=vec0`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If the veactors veca, vecb and vecc form the sides BC,CA and AB respectively of triangle ABC, then :

    A
    `veca.vecb + vecb.vecc+ vecc.veca=0`
    B
    `veca xx vecb=vecb xx vecc = vecc xx veca`
    C
    `veca.vecb=vecb.vecc=vecc.veca`
    D
    `vecaxxvecb + vecb xx vecb xx vecc xx veca =vec0.`

  • If veca+2vecb+3vecc=vecO , then vecaxxvecb+vecbxxvecc+veccxxveca=

    A
    `vecO`
    B
    `6(vecbxxvecc)`
    C
    `2(vecbxxvecc)`
    D
    `3(veccxxveca)`

  • If veca .vecb = veca.vec cand veca xx vecb = veca xx vec c,veca ne0 , then

    A
    `vec = vec c`
    B
    `(vec b-vec c) ||veca`
    C
    `vecb - vec c _|_ veca`
    D
    none of these

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