(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 & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 45E

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