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31. The plane through the points (0, 1, 1), (1, 0, 1), and (1, 1, 0)

31. The plane through the points (0, 1, 1), (1, 0, 1), and (1, 1, 0)

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 22CT
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o the for the 3) j el to the ar to the ector a) inter- 4, 6) that 22. L₁: L₂: 1-231-232 y - 3 -2 x - 2 2 Z 23-40 Find an equation of the plane. X₂ 23. The plane through the origin and perpendicular to the vector (1, -2,5) 24. The plane through the point (5, 3, 5) and with normal vector 2i + j - k 25. The plane through the point (-1, 2, 3) and with normal vector i + 4j + k 26. The plane through the point (2, 0, 1) and perpendicular to the line x = 3t, y = 2-t, z = 3 + 4t 27. The plane through the point (1, -1, -1) and parallel to the plane 5x - y - z = 6 28. The plane through the point (3, -2, 8) and parallel to the plane z = x + y 29. The plane through the point (1, 2, 3) and parallel to the plane x + y + z = 0 30. The plane that contains the line x = 1 + t, y = 2 - t, z = 4 - 3t and is parallel to the plane 5x + 2y + z = 1 31. The plane through the points (0, 1, 1), (1, 0, 1), and (1, 1, 0) 32. The plane through the origin and the points (3, 2, 1) and (1, 1, 1) 33. The plane through the points (2, 1, 2), (3, -8, 6), and (-2, -3, 1)
Transcribed Image Text:o the for the 3) j el to the ar to the ector a) inter- 4, 6) that 22. L₁: L₂: 1-231-232 y - 3 -2 x - 2 2 Z 23-40 Find an equation of the plane. X₂ 23. The plane through the origin and perpendicular to the vector (1, -2,5) 24. The plane through the point (5, 3, 5) and with normal vector 2i + j - k 25. The plane through the point (-1, 2, 3) and with normal vector i + 4j + k 26. The plane through the point (2, 0, 1) and perpendicular to the line x = 3t, y = 2-t, z = 3 + 4t 27. The plane through the point (1, -1, -1) and parallel to the plane 5x - y - z = 6 28. The plane through the point (3, -2, 8) and parallel to the plane z = x + y 29. The plane through the point (1, 2, 3) and parallel to the plane x + y + z = 0 30. The plane that contains the line x = 1 + t, y = 2 - t, z = 4 - 3t and is parallel to the plane 5x + 2y + z = 1 31. The plane through the points (0, 1, 1), (1, 0, 1), and (1, 1, 0) 32. The plane through the origin and the points (3, 2, 1) and (1, 1, 1) 33. The plane through the points (2, 1, 2), (3, -8, 6), and (-2, -3, 1)
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Equation of plane passing through points (0,1,1) , (1,0,1) & (1,1,0)

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