(a) Determine the vector equation and the Cartesian equation of the plane β passing by the points A(1, 3, 1), B(2, 0, 0) and C(0, 1, 1). (b) Consider point P(0, 2, 0) and determine if it belongs to the plane β. (c) Determine the vector equation and the Cartesian equation of the line passing by A and perpendicular to the plane β.

(a) Determine the vector equation and the Cartesian equation of the plane β passing by the points A(1, 3, 1), B(2, 0, 0) and C(0, 1, 1). (b) Consider point P(0, 2, 0) and determine if it belongs to the plane β. (c) Determine the vector equation and the Cartesian equation of the line passing by A and perpendicular to the plane β.

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.CR: Chapter Review

Problem 1CC: aWhat is a vector in the plane? How do we represent a vector in the coordinate plane? bFind the...

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