10. (a) Find two lines that are parallel to the plane (x, y, z) = (1, 0, 2) +t₁ (1, 2, 3) + t₂(4, 5, 6). Hint: Start by finding two vectors that are parallel to this plane. (b) Find the (smaller) angle between the two lines you found in part (a).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
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10. (a) Find two lines that are parallel to the plane (x, y, z) = (1, 0, 2) + t₁ (1, 2, 3) + t₂(4, 5, 6).
Hint: Start by finding two vectors that are parallel to this plane.
(b) Find the (smaller) angle between the two lines you found in part (a).
Transcribed Image Text:10. (a) Find two lines that are parallel to the plane (x, y, z) = (1, 0, 2) + t₁ (1, 2, 3) + t₂(4, 5, 6). Hint: Start by finding two vectors that are parallel to this plane. (b) Find the (smaller) angle between the two lines you found in part (a).
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