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Activity 9.5.3

Avg difficulty 2.5
  1. Find the area of the parallelogram formed by the vectors u⃗=⟨1,3,−2⟩\vu = \langle 1,3, -2\rangle and v⃗=⟨3,0,1⟩\vv=\langle 3,0,1\rangle.

  2. Find the area of the parallelogram in R3\R^3 whose vertices are (1,0,1)(1,0,1), (0,0,1)(0,0,1), (2,1,0)(2,1,0), and (1,1,0)(1,1,0).

Long, Keller & Schlicker, Active Calculus Multivariable, §9.5 The Cross Product, Activity 9.5.3

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Adapted from Active Calculus Multivariable © 2013–2026 Nicholas Long, Mitchel T. Keller, and Steven Schlicker. Licensed under CC BY-SA 4.0. Source: Active Calculus Multivariable. Imported at revision 692c03c.