Explain why, for a smooth parametric curve, the direction vector of a normal line at…

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Explain why, for a smooth parametric curve, the direction vector of a normal line at a point is orthogonal to the direction vector of the tangent line at that same point.

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