Lemma
EasyCurves in space
Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §12.1 The Position Vector, #14 · Multivariable Calculus · Curves in space

Find the closest point to the origin on the line

Find the closest point to the origin on the line . When and where does it cross the line through the origin? Find the equation of a line it never crosses.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §12.1 The Position Vector, #14

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