Let L be a line which is parallel to the line L1 : 2x = 3y = 6z and intersects two lines L2 : x = z – 4 = 0 and L3 : y = z + 4 = 0. (a) Find the parametric equations of the line L. (b) Let L4 be a line with symmetric equations Y - 8 x + 12 2 Find the equation of the plane containing the lines L and L4.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let L be a line which is parallel to the line L1 : 2x = 3y = 6z
and intersects two lines
L2 : x = z – 4 = 0_and L3 : y = z + 4 = 0.
(a) Find the parametric equations of the line L.
(b) Let L4 be a line with symmetric equations
Y – 8
x + 12 =
2
-z.
Find the equation of the plane containing the lines L and L4.
Transcribed Image Text:Let L be a line which is parallel to the line L1 : 2x = 3y = 6z and intersects two lines L2 : x = z – 4 = 0_and L3 : y = z + 4 = 0. (a) Find the parametric equations of the line L. (b) Let L4 be a line with symmetric equations Y – 8 x + 12 = 2 -z. Find the equation of the plane containing the lines L and L4.
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