Symmetric Equations | Woody Calculus

Lines and Planes in 3D: Equations, Examples, and Tangent Planes

September 6, 2026 Brian M. Woody Leave a comment

Calculus 3 infographic comparing a line determined by a point P₀ and direction vector d with a plane determined by a point P₀ and normal vector n. It displays r(t) = r₀ + td and n · (r − r₀) = 0 with labeled 3D diagrams.

Learn how points, direction vectors, and normal vectors build lines and planes in three dimensions. Work through equations, intersections, distances, and tangent-plane normals with 10 visual slides and 12 practice problems with solutions.

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