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When two planes intersect, the angle between the planes is defined as the non-obtuse angle between their normals. If N₁ and N₂ are the normals of two intersecting planes, the angle between these planes is given by 0≤0≤ 1/12 Find the angle between two intersecting planes 2x - 3y + z = 4 and x - y + 3z = 9. (Express numbers in exact form. Use symbolic notation and fractions where needed.) cos(0) = 0 = |N₁-N₂| ||N₁||||N₂||

When two planes intersect, the angle between the planes is defined as the non-obtuse angle between their normals. If N₁ and N₂ are the normals of two intersecting planes, the angle between these planes is given by 0≤0≤ 1/12 Find the angle between two intersecting planes 2x - 3y + z = 4 and x - y + 3z = 9. (Express numbers in exact form. Use symbolic notation and fractions where needed.) cos(0) = 0 = |N₁-N₂| ||N₁||||N₂||

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 32E
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When two planes intersect, the angle between the planes is defined as the non-obtuse angle between their normals. If N₁ and N₂ are the normals of two intersecting planes, the angle between these planes is given by cos(0) = |N₁ N₂| ||N₁||||N₂|| 0 = 0 ≤ 0 ≤ T 2 Find the angle between two intersecting planes 2x - 3y + z = 4 and x - y + 3z = 9. (Express numbers in exact form. Use symbolic notation and fractions where needed.)
Transcribed Image Text:When two planes intersect, the angle between the planes is defined as the non-obtuse angle between their normals. If N₁ and N₂ are the normals of two intersecting planes, the angle between these planes is given by cos(0) = |N₁ N₂| ||N₁||||N₂|| 0 = 0 ≤ 0 ≤ T 2 Find the angle between two intersecting planes 2x - 3y + z = 4 and x - y + 3z = 9. (Express numbers in exact form. Use symbolic notation and fractions where needed.)
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