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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 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