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Let veca=hati-hatj,vecb=hati+hatj+hatk a...

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:

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

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 ………………

Knowledge Check

  • Let veca=2hati+2hatj+hatk and vecc is a vector such that |vecaxxvecc|^(2)+(veca.vecc)^(2)=144 then |vecc| is equal to

    A
    16
    B
    4
    C
    3
    D
    9

  • 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 +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`

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    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:

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

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    Let veca=2hati+3hatj+4hatk, vecb=hati-2hatj+jhatk and vecc=hati+hatj-hatk. If vecr xx veca =vecb and vecr.vec c=3, then the value of |vecr| is equal to

    If veca, vecb, and vecc are unit vectors such that veca +2vecb +2vecc =vec0 , then |veca xx vecc| is equal to :

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