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How To Find Magnitude of a Vector

Result

sqrt(14)

Vector plot

Vector plot

Normalized vector

(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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