Consider the following planes. 3x + 2y - z = 42 x - 4y + 2z = 0 (a) Find the angle between the two planes. (Round your answer to two decimal places.) 30.95 (b) Find a set of parametric equations for the line of intersection of the planes. (Use t for the parameter. Enter your answers as a comma-separated list of equations.) x = 12, y = 3 + t, := 21

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Consider the following planes.
3x + 2y – z = 42
x - 4y + 2z = 0
(a) Find the angle between the two planes. (Round your answer to two decimal places.)
30.95
(b) Find a set of parametric equations for the line of intersection of the planes. (Use t for the parameter. Enter your answers as a comma-separated list of equations.)
x = 12, y = 3 + t, = = 2t
Transcribed Image Text:Consider the following planes. 3x + 2y – z = 42 x - 4y + 2z = 0 (a) Find the angle between the two planes. (Round your answer to two decimal places.) 30.95 (b) Find a set of parametric equations for the line of intersection of the planes. (Use t for the parameter. Enter your answers as a comma-separated list of equations.) x = 12, y = 3 + t, = = 2t
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