9.5 The Cross Product
Focus on cross product and parallel cross product.
Before you solve
Ideas in this lesson
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Lesson brief and rules
9.5 The Cross Product
For vectors in the plane, the cross product points in the -direction.
Worked example
01 / Find ⟨⟩⟨⟩.
02 / The right-hand rule gives a positive -component .
03 / Answer: ⟨⟩
Worked example 2 · Parallel cross product
Find ⟨⟩⟨⟩.
Parallel vectors have zero cross product. Answer: ⟨⟩
Textbook reference: Stewart, Redlin & Watson, Precalculus: Mathematics for Calculus, 7th ed. (Cengage, 2016). The explanations and practice here are original, organized by textbook section.