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If vec a and vec b are unit Vectors, t...

If ` vec a` and ` vec b` are unit Vectors, then what is the angle between ` vec a` and ` vec b` so that `sqrt(2) vec a- vec b` is a unit vector?

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Knowledge Check

  • Let vec(a) and vec(b) be two unit vectors and theta is the angle between them. Then vec(a)+vec(b) is a unit vector if :

    A
    `theta = (pi)/(4)`
    B
    `theta =(pi)/(3)`
    C
    `theta=(pi)/(2)`
    D
    `theta=(2pi)/(3)`

  • If vec(a) and vec(b) are unit vectors, then what is the value of |vec(a) xx vec(b)|^(2) + (vec(a).vec(b))^(2) ?

    A
    A) 0
    B
    B) 2
    C
    C) 1
    D
    D) `1//2`

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