Let θ be the angle between the vectors u = 2i + 3j−6k and v = 2i + 3j +6k. (a) Use the dot product to find cosθ. (b) Use the cross product to find sinθ. (c) Confirm that sin²θ + cos²θ = 1.
Let θ be the angle between the vectors u = 2i + 3j−6k and v = 2i + 3j +6k. (a) Use the dot product to find cosθ. (b) Use the cross product to find sinθ. (c) Confirm that sin²θ + cos²θ = 1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 3E
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Let θ be the angle between the
(a) Use the dot product to find cosθ.
(b) Use the cross product to find sinθ.
(c) Confirm that sin²θ + cos²θ = 1.
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