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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?

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?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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