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Find the angle of intersection between S and P

Find the angle of intersection between S and P

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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(a) A plane, P, contains the points a = = (1, 1,0), b = (3, 4, 5) and c = (-1, 2, 5). Find the equation of the plane. (b) A surface, S, is given by f(r) = x³ + y³ + z² the point q = (1, −1, −5) lies on both the surface S and the plane P. - xyz = 20. Confirm that (c) Find the angle of intersection between S and P at the point q. Hint: consider the normals to the surface and plane at this point.
Transcribed Image Text:(a) A plane, P, contains the points a = = (1, 1,0), b = (3, 4, 5) and c = (-1, 2, 5). Find the equation of the plane. (b) A surface, S, is given by f(r) = x³ + y³ + z² the point q = (1, −1, −5) lies on both the surface S and the plane P. - xyz = 20. Confirm that (c) Find the angle of intersection between S and P at the point q. Hint: consider the normals to the surface and plane at this point.
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