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(b) A surface, S, is given by f(r) = x²y + y²z + z²x = 4. Confirm that the point with position vector a lies on both the surface S and the plane P and find the angle of intersection between S and P at that point. Hint: consider the normals to the surface and plane at this point.

(b) A surface, S, is given by f(r) = x²y + y²z + z²x = 4. Confirm that the point with position vector a lies on both the surface S and the plane P and find the angle of intersection between S and P at that point. Hint: consider the normals to the surface and plane at this point.

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 2E
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(b) A surface, S, is given by f(r) = x²y + y²z + z²x = 4. Confirm that the point with position vector a lies on both the surface S and the plane P and find the angle of intersection between S and P at that point. Hint: consider the normals to the surface and plane at this point.
Transcribed Image Text:(b) A surface, S, is given by f(r) = x²y + y²z + z²x = 4. Confirm that the point with position vector a lies on both the surface S and the plane P and find the angle of intersection between S and P at that point. Hint: consider the normals to the surface and plane at this point.
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