Find an equation of the line where the planes Q and R intersect. Q: - 2x + y - 4z = 1; R: x + y + z = -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
Find an equation of the line where the planes Q and R intersect.
Q: 2x + y - 4z = 1; R: x+y+z= -1
Choose the correct answer below.
1
= - = - + 5t, z = - 1²/
3
O A. An equation of the line is given by x= - 3t, y =
B. An equation of the line is given by x = −3+ t, y = - 2t, z =
3
2
C. An equation of the line is given by x =
- 2t, where - ∞ <t<∞.
4t, where ∞<t<∞.
3
+5t, y=-3 +t, z = 2t, where - ∞ <t<∞o.
2
2
1
O D. An equation of the line is given by x = - + 5t, y = - - 2t, z = - 3t, where - ∞<t<∞0.
3
3
Transcribed Image Text:Find an equation of the line where the planes Q and R intersect. Q: 2x + y - 4z = 1; R: x+y+z= -1 Choose the correct answer below. 1 = - = - + 5t, z = - 1²/ 3 O A. An equation of the line is given by x= - 3t, y = B. An equation of the line is given by x = −3+ t, y = - 2t, z = 3 2 C. An equation of the line is given by x = - 2t, where - ∞ <t<∞. 4t, where ∞<t<∞. 3 +5t, y=-3 +t, z = 2t, where - ∞ <t<∞o. 2 2 1 O D. An equation of the line is given by x = - + 5t, y = - - 2t, z = - 3t, where - ∞<t<∞0. 3 3
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