23. The point (1, k, 4) lies on the plane [x, y, z] - [1, 2, 0] + s(3, 0, 1] + [2,-1, 1]. Find the value of k.
23. The point (1, k, 4) lies on the plane [x, y, z] - [1, 2, 0] + s(3, 0, 1] + [2,-1, 1]. Find the value of k.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 86E
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![23. The point (1, k, 4) lies on the plane [x, y, z)= [1,2,0]+s(3, 0, 1] + [2,-1, 1]. Find the value of k.
24. By analysing the normals, determine if the two planes intersect in a line, are parallel and distinct, or are
coincident.
₁:x+2y+3z-3-0
₂:2x-y+z-7-0
25. By analysing the normals, determine if the three planes intersect in a point.
#₁: x-Sy+ 22-10-0
₂: (x, y, z]-[0, 0, 3]+s[2, 0, 1] + [7.-1, 0]
#3: 8x + 5y +z-20-0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a27103f-8949-4cc0-b106-57b2f9bb7122%2Ffeb396cb-8be2-4486-8a61-487f44ebf04a%2F661hrv8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:23. The point (1, k, 4) lies on the plane [x, y, z)= [1,2,0]+s(3, 0, 1] + [2,-1, 1]. Find the value of k.
24. By analysing the normals, determine if the two planes intersect in a line, are parallel and distinct, or are
coincident.
₁:x+2y+3z-3-0
₂:2x-y+z-7-0
25. By analysing the normals, determine if the three planes intersect in a point.
#₁: x-Sy+ 22-10-0
₂: (x, y, z]-[0, 0, 3]+s[2, 0, 1] + [7.-1, 0]
#3: 8x + 5y +z-20-0
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