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(a) Determine the vector equation and the Cartesian equation of the plane B passin 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 B. (c) Determine the vector equation and the Cartesian equation of the line passing b A and perpendicular to the plane B.

(a) Determine the vector equation and the Cartesian equation of the plane B passin 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 B. (c) Determine the vector equation and the Cartesian equation of the line passing b A and perpendicular to the plane B.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. (a) Determine the vector equation and the Cartesian equation of the plane ß 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 B. (c) Determine the vector equation and the Cartesian equation of the line passing by A and perpendicular to the plane ß.
Transcribed Image Text:2. (a) Determine the vector equation and the Cartesian equation of the plane ß 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 B. (c) Determine the vector equation and the Cartesian equation of the line passing by A and perpendicular to the plane ß.
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