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 L. meet. (d) Find the angle between 11 and L. in radians, correct to 2 decimal places.
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 L. meet. (d) Find the angle between 11 and L. in radians, correct to 2 decimal places.
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 L in radians, correct to 2 decimal places.
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