1 (a) For what value of k will the lines X1 = + t1 -2 and x2 + t2 2 intersect? 3 k k = 1 (b) The line x1 +t1 -2 intersects the plane 3x – 2y + 2z = 8 at the point with position vector 3 (Note: You may get something like læ in the equation of the plane: this simplifies to just x.) 1 (c) For what value of k will the line x2 = + t2 2 be parallel to the plane 3x – 2y + 2z = 8? k k =

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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Related questions
Question
1
(a) For what value of k will the lines x1 =
1
+t1
-2
and x2 =
+ t2
2
intersect?
3
3
k
1
(b) The line x1 =
1
+t1
-2
intersects the plane 3x – 2y + 2z = 8 at the point with position vector
3
3
(Note: You may get something like 1x in the equation of the plane: this simplifies to just x.)
1
2
(C) For what value of k will the line x2 =
-1
+ t2
be parallel to the plane 3x – 2y + 2z = 8?
k.
k =
Transcribed Image Text:1 (a) For what value of k will the lines x1 = 1 +t1 -2 and x2 = + t2 2 intersect? 3 3 k 1 (b) The line x1 = 1 +t1 -2 intersects the plane 3x – 2y + 2z = 8 at the point with position vector 3 3 (Note: You may get something like 1x in the equation of the plane: this simplifies to just x.) 1 2 (C) For what value of k will the line x2 = -1 + t2 be parallel to the plane 3x – 2y + 2z = 8? k. k =
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