2) The distance between the parallel planes ax + by + cz + d1 = 0 and |d1-d2| ax+by+cz + d2 = 0 is √a²+b²+c² Find equations of the planes that are parallel to the plan x + 2y – 2z = 1 and two units away from it.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.1: Early Definitions And Postulates
Problem 37E: Line l is parallel to plane P that is, it will not intersect P even if extended. Line m intersects...
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2) The distance between the parallel planes ax + by + cz + d1 = 0 and
|d1-d2|
ax+by+cz + d2 = 0 is
√a²+b²+c²
Find equations of the planes that are parallel to the plan x + 2y – 2z =
1 and two units away from it.
Transcribed Image Text:2) The distance between the parallel planes ax + by + cz + d1 = 0 and |d1-d2| ax+by+cz + d2 = 0 is √a²+b²+c² Find equations of the planes that are parallel to the plan x + 2y – 2z = 1 and two units away from it.
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