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) Let P be the plane which passes through (i.e, contains) the points (1, 2, 3), (3, 2, 1) d (2,1,2). Find a parametric equation and also a standard equation for P. ) Find a standard equation for the plane P′ which passes through the point (3, 0, −1) d contains the line (x, y, z) = (1 — 2t, t, 2). ) Find the line of intersection of the two planes P and P'.

) Let P be the plane which passes through (i.e, contains) the points (1, 2, 3), (3, 2, 1) d (2,1,2). Find a parametric equation and also a standard equation for P. ) Find a standard equation for the plane P′ which passes through the point (3, 0, −1) d contains the line (x, y, z) = (1 — 2t, t, 2). ) Find the line of intersection of the two planes P and P'.

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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(a) Let P be the plane which passes through (i.e, contains) the points (1, 2, 3), (3, 2, 1) and (2,1,2). Find a parametric equation and also a standard equation for P. (b) Find a standard equation for the plane P' which passes through the point (3, 0, −1) and contains the line (x, y, z) = (1 – 2t, t, 2). (c) Find the line of intersection of the two planes P and P'.
Transcribed Image Text:(a) Let P be the plane which passes through (i.e, contains) the points (1, 2, 3), (3, 2, 1) and (2,1,2). Find a parametric equation and also a standard equation for P. (b) Find a standard equation for the plane P' which passes through the point (3, 0, −1) and contains the line (x, y, z) = (1 – 2t, t, 2). (c) Find the line of intersection of the two planes P and P'.
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