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If a, b, c are three mutually perpendicu...

If `a, b, c` are three mutually perpendicular vector each of magnitude unity, then what is the magnitude of `|vec a + vec b + vec c|?`

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If vec(a), vec(b) and vec(c) are three mutually perpendicular vectors of equal magnitude, then find the angle between vec(a) and (vec(a) + vec(b) + vec(c)) .

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Knowledge Check

  • If vec a, vec b, vec c are three mutually perpendicular vectors of equal magnitude, then the angle theta which vec a + vec b + vec c makes with any one of three given vectors is given by

    A
    `cos^(-1) (1/sqrt3)`
    B
    `cos^(-1) (1/3)`
    C
    `cos^2(1/sqrt3)`
    D
    none of these

  • If vec a, vec b, vec c are any three mutually perpendicular vectors of equal magnitude a, then |vec a+ vec b+ vec c| is equal to

    A
    a
    B
    `sqrt2a`
    C
    `sqrt3a`
    D
    `2a`

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