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    How To Find Magnitude of a Vector

    Result

    sqrt(14)

    Vector plot

    Normalized vector

    (3/sqrt(14), 2/sqrt(14), -1/sqrt(14))

    Alternative normalized form

    (3/sqrt(14), sqrt(2/7), -1/sqrt(14))

    Spherical coordinates

    r = sqrt(14) (radius), θ = cos^(-1)(-1/sqrt(14)) (polar angle), ϕ = tan^(-1)(2/3) (azimuthal angle)

    Corresponding line segment

    x = 3 t, y = 2 t, z = -t for 0<=t<=1

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