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Exam Prep Rise· Staffel 48· Folge 84

MATSEC AM Pure Mathematics Complete Prep Course — Lesson 84: Equations of lines in three dimensions

Sonntag, 1. November 2026 · 7 min

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Lesson 84 builds the equation of a straight line in three dimensions from a point and a direction. It derives r equals a plus lambda d, reads off the parametric components, eliminates lambda to reach the Cartesian chain of fractions, and handles a zero direction component. It also reads Cartesian form backwards, stresses that line equations are not unique, and tests two lines for parallel versus identical.

Lesson 84 of 158 in the MATSEC AM Pure Mathematics Complete Prep Course audio course from ExamPrepRise.

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