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Consider the plane 2x + 2y - 3x = 18. (a) Find a point that is not on this plane. (b) Find an equation of a line that passes through the point you chose in part a.) and is parallel to the y - axis. (c) Find the distance between the line you gave in part b.) and the point (-1,1,2).

Consider the plane 2x + 2y - 3x = 18. (a) Find a point that is not on this plane. (b) Find an equation of a line that passes through the point you chose in part a.) and is parallel to the y - axis. (c) Find the distance between the line you gave in part b.) and the point (-1,1,2).

Elementary Geometry For College Students, 7e
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
Section10.1: The Rectangular Coordinate System
Problem 44E: By definition, a hyperbola is the locus of points whose positive difference of distances from two...
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1. Consider the plane 2x + 2y — 3z = 18. (a) Find a point that is not on this plane. (b) Find an equation of a line that passes through the point you chose in part a.) and is parallel to the y - axis. (c) Find the distance between the line you gave in part b.) and the point (−1,1,2). (d) Find an equation of a line that does not intersect the plane 2x − 3y + 6z 18. (e) Show that the line you gave in the previous part that does not intersect the plane 2x - 3y + 6z = 18. (f) Find the distance from the point you chose in part a.) to the plane 2x − 3y+6z 18. = (g) Find a point that is on the plane 2x + 2y - 3z (h) Find the distance from the point in part g.) to the plane 2x + 2y − 3z = 18. (i) Comment on the answers to part f.) and h.) - 18. =
Transcribed Image Text:1. Consider the plane 2x + 2y — 3z = 18. (a) Find a point that is not on this plane. (b) Find an equation of a line that passes through the point you chose in part a.) and is parallel to the y - axis. (c) Find the distance between the line you gave in part b.) and the point (−1,1,2). (d) Find an equation of a line that does not intersect the plane 2x − 3y + 6z 18. (e) Show that the line you gave in the previous part that does not intersect the plane 2x - 3y + 6z = 18. (f) Find the distance from the point you chose in part a.) to the plane 2x − 3y+6z 18. = (g) Find a point that is on the plane 2x + 2y - 3z (h) Find the distance from the point in part g.) to the plane 2x + 2y − 3z = 18. (i) Comment on the answers to part f.) and h.) - 18. =
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