Suppose that L1 is the line through point (1, 2, 3) with direction vector [2 ,- 3 ,0]t. And suppose that L2 is the line given by the intersection of the two planes x + y - z = 1 and 2x - y + z = 2 1.1 Show that L1 and L2 do not intersect. 1.2 Explain why L1 and L2 are not parallel. 1.3 Determine the shortest distance between any two points, P1 and P2, where P1 lies on L1 and P2 lies on L2.
Suppose that L1 is the line through point (1, 2, 3) with direction vector [2 ,- 3 ,0]t. And suppose that L2 is the line given by the intersection of the two planes x + y - z = 1 and 2x - y + z = 2 1.1 Show that L1 and L2 do not intersect. 1.2 Explain why L1 and L2 are not parallel. 1.3 Determine the shortest distance between any two points, P1 and P2, where P1 lies on L1 and P2 lies on L2.
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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Suppose that L1 is the line through point (1, 2, 3) with direction vector [2 ,- 3 ,0]t.
And suppose that L2 is the line given by the intersection of the two planes
x + y - z = 1 and 2x - y + z = 2
1.1 Show that L1 and L2 do not intersect.
1.2 Explain why L1 and L2 are not parallel.
1.3 Determine the shortest distance between any two points, P1 and P2, where P1 lies on L1 and P2 lies on L2.
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