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Let the vectors vec(a) and vec(b) be suc...

Let the vectors `vec(a) and vec(b)` be such that `|vec(a)|=3 and |vec(b)|= (sqrt2)/(3)`, then `vec(a) xx vec(b)` is a unit vector, if the angle between `vec(a) and vec(b)` is

A

`(pi)/(6)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

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Knowledge Check

  • If vec(a) and vec(b) are unit vectors, then the angle between vec(a) and vec(b) for sqrt( 3) vec( a) - vec(b) to be a unit vector is

    A
    `30^(@)`
    B
    `45^(@)`
    C
    `60^(@)`
    D
    `90^(@)`

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