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    Change of Basis

    Result

    r = sqrt(14) (radius), θ = cos^(-1)(sqrt(2/7)) (polar angle), ϕ = tan^(-1)(3) (azimuthal angle)

    Vector plot

    Vector plot

    Vector length

    sqrt(14)

    Normalized vector

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

    Alternative normalized form

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

    Corresponding line segment

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

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