20. The points P₁ (1, 1, 1), P₂ (1, 2, 3) and P3 (2, 2, 4) are on a plane. (a) Give the explicit equation of this plane. (b) If I start from an arbitrary point on this plane and move 2 units in the direction of the x-axis and 3 units in the direction of the y-axis, how many units do I have to move in the direction of the z-axis to stay on the plane?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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20. The points P₁ (1, 1, 1), P₂ (1, 2, 3) and P3 (2, 2, 4) are on a plane.
(a) Give the explicit equation of this plane.
(b) If I start from an arbitrary point on this plane and move 2 units in the direction of the x-axis
and 3 units in the direction of the y-axis, how many units do I have to move in the direction of
the z-axis to stay on the plane?
Transcribed Image Text:20. The points P₁ (1, 1, 1), P₂ (1, 2, 3) and P3 (2, 2, 4) are on a plane. (a) Give the explicit equation of this plane. (b) If I start from an arbitrary point on this plane and move 2 units in the direction of the x-axis and 3 units in the direction of the y-axis, how many units do I have to move in the direction of the z-axis to stay on the plane?
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