Explain the meaning of direction angles and their relation to direction vectors. What are the direction angles of the vector [–5, 1, 8]? Prove that cos^2(a)+cos2(b)+cos2(y)=1. A vector has direction angles a = 85° and b=65°. Determine the value of y, and generated a vector that has those direction angles. Explain why it is not possible for two of a vector's direction angles to be less than 45°

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 81E
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Explain the meaning of direction angles and their relation to direction vectors.

  1. What are the direction angles of the vector [–5, 1, 8]?
  2. Prove that cos^2(a)+cos2(b)+cos2(y)=1.
  3. A vector has direction angles a = 85° and b=65°. Determine the value of y, and generated a vector that has those direction angles.
  4. Explain why it is not possible for two of a vector's direction angles to be less than 45°
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