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If bara, barb, barc, bard are vectors su...

If `bara, barb, barc, bard` are vectors such that `bard` is a unit vector, the projection of `bara` on `bard` is 2 and `[bara barb barc] = 3` find the value of `{ ( a xx b) xx (bara xx barc)} .bard`

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bara,barb,barc are mutually perpendicular unit vectors and bard is a unit vector equally inclined to each of bara,barb and barc " at an angle of " 60^(@). " Find the value of " abs(bara+barb+barc+bard)^(2) .

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Knowledge Check

  • [bara barb barc]+[bara barc barb] =

    A
    `[bara barb barc]`
    B
    `2[bara barb barc]`
    C
    `3[bara barb barc]`
    D
    0

  • If bara, barb, barc, bard are any four vectors then (baraxx barb) xx (barc xx bard) is a vector

    A
    `bot` to `bara,barb,barc,bard`
    B
    equally inclined to `baraxxbarb` and `barcxxbard`
    C
    along the line of intersection of two planes, one containing `bara, barb` and the other containing `barc, bard`
    D
    2 and 3

  • If bara xx barb=barc and barbxx barc=bara , then

    A
    `|barc|=1, |bara|=1`
    B
    `|barb|=1,|barc|=|bara|`
    C
    `|barb|=2,|barb|=2|bara|`
    D
    `|bara|=1,|barb|=|barc|`

    • Similar Questions

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    If bara,barb,barc" and "bard are coplanar vectors, then show that (bara xx barb)xx (barc xx bard)= bar0 .

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