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Exercise 3.2.15

Avg difficulty 3.0

Use Exercise an exercise given elsewhere in the book to find an equation of a plane containing the two vectors p\mathbf{p} and q\mathbf{q} and the point 00. Hint: If (x,y,z)(x,y,z) is a point in this plane, the volume of the parallelepiped determined by (x,y,z)(x,y,z) and the vectors p\mathbf{p}, q\mathbf{q} equals 0.

Selinger, Matrix Theory and Linear Algebra, Lines and planes in Rn, Planes, Exercise 3.2.15

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Adapted from Matrix Theory and Linear Algebra © 2017–2026 Peter Selinger, Lyryx Learning, and Ken Kuttler. Licensed under CC BY 4.0. Source: Matrix Theory and Linear Algebra. Imported at revision d74bc3a.