Thinking x=2-s+ 2t 23. Find a normal vector of the plane: y = 3 + 4s-3t [2 Marks] z=4+s+ 4t 24. The point (-2, k, 7) lies on the plane: 4x+5y + 12z - 16 = 0. Find the value of k. [2 Marks] 25. Determine if the point (-1, 11) is on the line defined by (x-3, y-1) = t (-2, 5), te R. [3 Marks] 26. Find the intercepts of the plane [x, y, z] = [5, 4, 3] + s [1, 0, 1] + [-1,-4,-2]. [4 Marks]
Thinking x=2-s+ 2t 23. Find a normal vector of the plane: y = 3 + 4s-3t [2 Marks] z=4+s+ 4t 24. The point (-2, k, 7) lies on the plane: 4x+5y + 12z - 16 = 0. Find the value of k. [2 Marks] 25. Determine if the point (-1, 11) is on the line defined by (x-3, y-1) = t (-2, 5), te R. [3 Marks] 26. Find the intercepts of the plane [x, y, z] = [5, 4, 3] + s [1, 0, 1] + [-1,-4,-2]. [4 Marks]
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 7E
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![Thinking
x=2-s+ 2t
23. Find a normal vector of the plane: y = 3 + 4s-3t [2 Marks]
z=4+s+ 4t
24. The point (-2, k, 7) lies on the plane: 4x+5y + 12z - 16 = 0. Find the value of k. [2 Marks]
25. Determine if the point (-1, 11) is on the line defined by (x-3, y-1) = t (-2, 5), te R. [3 Marks]
26. Find the intercepts of the plane [x, y, z] = [5, 4, 3] + s [1, 0, 1] + [-1,-4,-2]. [4 Marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51ee61e2-95ad-4ba6-8d63-c194d98f6522%2Fd53c3e0f-e500-4ae3-ba37-3ee4b38b1f2a%2F8jshwk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Thinking
x=2-s+ 2t
23. Find a normal vector of the plane: y = 3 + 4s-3t [2 Marks]
z=4+s+ 4t
24. The point (-2, k, 7) lies on the plane: 4x+5y + 12z - 16 = 0. Find the value of k. [2 Marks]
25. Determine if the point (-1, 11) is on the line defined by (x-3, y-1) = t (-2, 5), te R. [3 Marks]
26. Find the intercepts of the plane [x, y, z] = [5, 4, 3] + s [1, 0, 1] + [-1,-4,-2]. [4 Marks]
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