Given: planes II₁ : 2x − 5y + z = −1 and II₂ : x + 5y + z = 5 intersecting on a line l(a) Compute the acute angle between Ã₁ and П₂.(b) Determine the symmetric equations of l.(c) Give a point-normal equation of the plane through P(10, -1, -2) that is perpendicular to l.

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Answered: Given: planes II₁: 2x - 5y + z = -1 and…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter12: Conic Sections

Section12.CR: Chapter Review

Problem 6CC

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Given: planes II₁: 2x - 5y + z = -1 and II₂ : x + 5y + z = 5 intersecting on a line l (a) Compute the acute angle between II and II₂. (b) Determine the symmetric equations of l. (c) Give a point-normal equation of the plane through P(10,-1,-2) that is perpendicular to l.