(a) For what value of kwill the lines X₁ k 2 -0------ +t₁-2 and X₂ = -3 = + t₂ intersect?
(a) For what value of kwill the lines X₁ k 2 -0------ +t₁-2 and X₂ = -3 = + t₂ intersect?
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:(a) For what value of k will the lines X₁ =
k=
(b) The line X₁1 =
3
NI
02
3
2
1 +₁ -2 and X₂ = -3 + t₂
3
2
+t₁-2 intersects the plane 1x - 2y + 2z = 8 at the point with position vector
(Note: You may get something like 1x in the equation of the plane: this simplifies to just z.)
(c) For what value of k will the line X₂ =
intersect?
-3 + t₂
2
be parallel to the plane 1x - 2y + 2z = 8?
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