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If veca=hatj-hatk and vecc=hati+hatj+hat...

If `veca=hatj-hatk` and `vecc=hati+hatj+hatk` are given vectors, and `vecb` is such that `veca.vecb=3` and `vecaxxvecb+vecc=0` than `|vecb|^(2)` is equal to ………………

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If veca=hati+hatj+hatk and vecb = hati-2hatj+hatk then find vector vecc such that veca.veca = 2 and veca xx vecc = vecb

If veca=hati+hatj + hatk and vecb = hati - 2 hatj+hatk then find the vector vecc such that veca.vecc =2 and veca xx vecc=vecb .

Knowledge Check

  • Let veca=hatj-hatk and vecc=hati-hatj-hatk . Then the vector vecb satisfying vecaxxvecb+vecc=vec0 and veca.vecb=3 is

    A
    `hati-hatj-2hatk`
    B
    `hati+hatj-2hatk`
    C
    `-hati+hatj-2hatk`
    D
    `2hati-hatj+2hatk`

  • Let veca=hati-hatj,vecb=hati+hatj+hatk and vecc be a vector such that vecaxxvecc+vecb=vec0 and veca.vecc=4 , then |vecc|^(2) is equal to:

    A
    9
    B
    8
    C
    `17/2`
    D
    `19/2`

  • Let veca = hati + hatj +hatjk, vecc =hatj - hatk and a vector vecb be such that veca xx vecb = vecc and veca.vecb=3 . Then |vecb| equals:

    A
    `sqrt(11/3)`
    B
    `11/sqrt(3)`
    C
    `sqrt(11)/3`
    D
    `11/3`

    • Similar Questions

    Explore conceptually related problems

    If veca=hati+hatj + hatk and vecb = hati - 2 hatj+hatk then find the vector vecc such that veca.vecc =2 and veca xx vecc=vecb .

    If veca=hati+hatj+hatk and vec=hatj-hatk find a vector vecc such that vecaxxvecc=vecb and veca.vecc=3 .

    Let veca=hati+2hatj-hatk, vecb=hati-hatj and vecc=hati-hatj-hatk be three given vectors. If vecr is a vector such that vecr xx veca=vecc xx veca and vecr*vecb=0 , then vecr*veca is equal to _______.

    Let veca=hati-2hatj+hatkand vecb=hati-hatj+hatk be two vectors. If vecc is a vector such that vecbxxvecc=vecbxxveca and vecc*veca=0, theat vecc*vecb is equal to:

    Let veca=-hati-hatk, vecb=-hati+hatj and vecc=hati+2hatj+3hatk be three given vectors. If vecr is a vector such that vecrxxvecb=veccxxvecb and vecr.veca=0 , then the value of vecr.vecb is

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