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79. Let L, be the line through the origin and the point (2, 0, -1). Let L₂ be the line through the points (1, −1, 1) and (4, 1, 3). Find the distance between L₁ and L₂.

79. Let L, be the line through the origin and the point (2, 0, -1). Let L₂ be the line through the points (1, −1, 1) and (4, 1, 3). Find the distance between L₁ and L₂.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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74. 62-4y - 2x, 9z=1 - 3x + 6y 75. Show that the distance between the parallel planes ar + by + cz +d₁ = 0 and ax + by + cz + d₂ = 0 is D = - √a² + b ² + c² x + 2y = 2z = 1 and two units away from it. 76. Find equations of the planes that are parallel to the plane 77. Show that the lines with symmetric equations x = y = z and + 1 = y/2 = 2/3 are skew, and find the distance between these lines. 78. Find the distance between the skew lines with p equations x = 1 + t, y = 1 + 6t, z = 2t, and x = 1 + 2s, y = 5 + 15s, z = -2 + 6s. 79. Let L, be the line through the origin and the point (2, 0, -1). Let L₂ be the line through the points (1,-1, 1) and (4, 1, 3). Find the distance between L₁ and L₂. 80. Let L₁ be the line through the points (1, 2, 6) and (2, 4, 8). Let L₂ be the line of intersection of the planes P₁ and P2, where P₁ is the plane x - y + 2z + 1 = 0 and P₂ is the plane sil) 8 LABORATORY PROJECT PUTTING 3D IN PER Computer graphics programi three-dimensi
Transcribed Image Text:74. 62-4y - 2x, 9z=1 - 3x + 6y 75. Show that the distance between the parallel planes ar + by + cz +d₁ = 0 and ax + by + cz + d₂ = 0 is D = - √a² + b ² + c² x + 2y = 2z = 1 and two units away from it. 76. Find equations of the planes that are parallel to the plane 77. Show that the lines with symmetric equations x = y = z and + 1 = y/2 = 2/3 are skew, and find the distance between these lines. 78. Find the distance between the skew lines with p equations x = 1 + t, y = 1 + 6t, z = 2t, and x = 1 + 2s, y = 5 + 15s, z = -2 + 6s. 79. Let L, be the line through the origin and the point (2, 0, -1). Let L₂ be the line through the points (1,-1, 1) and (4, 1, 3). Find the distance between L₁ and L₂. 80. Let L₁ be the line through the points (1, 2, 6) and (2, 4, 8). Let L₂ be the line of intersection of the planes P₁ and P2, where P₁ is the plane x - y + 2z + 1 = 0 and P₂ is the plane sil) 8 LABORATORY PROJECT PUTTING 3D IN PER Computer graphics programi three-dimensi
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