The plane II contains the points (1, 2, 3), (0, 1, 2) and (2, 3, 0). The line L passes through the points (2,0,0) and (5,2,0). (a) Find an equation of II, and, as a check, verify that the three points (1, 2, 3), (0, 1, 2) and (2, 3,0) all satisfy the equation you give. (b) Find a parametric equation of L. (c) Find the point X where II and I meet.
The plane II contains the points (1, 2, 3), (0, 1, 2) and (2, 3, 0). The line L passes through the points (2,0,0) and (5,2,0). (a) Find an equation of II, and, as a check, verify that the three points (1, 2, 3), (0, 1, 2) and (2, 3,0) all satisfy the equation you give. (b) Find a parametric equation of L. (c) Find the point X where II and I meet.
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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Transcribed Image Text:2. The plane II contains the points (1, 2, 3), (0, 1, 2) and (2, 3,0). The line L passes through the points
(2,0,0) and (5,2,0).
(a) Find an equation of II, and, as a check, verify that the three points (1, 2, 3), (0, 1, 2) and (2, 3,0) all
satisfy the equation you give.
(b) Find a parametric equation of L.
(c) Find the point X where II and I meet.
(d) Find the angle between II and I in radians, correct to 2 decimal places.
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