DeepCurves in space

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §12.1 The Position Vector, #43 · Multivariable Calculus · Curves in space

The distance from … to the line … is the projection of…

The distance from $Q$ to the line $P + t v$ is the projection of $u = Q - P$ perpendicular to $v$ . How far is $Q = (9, 4, 5)$ from the line $x = 1 + t, y = 1 + 2 t, z = 3 + 2 t$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §12.1 The Position Vector, #43

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