The plane contains the point P(-1,2,-4) and the line l:r=(2i−5 j−3k)+t(−4i+2j+k) Show that the Cartesian equation of the plane is 9x+7y+22z = -83. (a) (b) (c) [4 marks] Find the point of intersection of the line 12:r=-2i-7k+Ai+j-k) and the plane л in (a). If the point S(-5, 1,-4) lies on the line i, find the value of μ. [3 marks] [2 marks]
The plane contains the point P(-1,2,-4) and the line l:r=(2i−5 j−3k)+t(−4i+2j+k) Show that the Cartesian equation of the plane is 9x+7y+22z = -83. (a) (b) (c) [4 marks] Find the point of intersection of the line 12:r=-2i-7k+Ai+j-k) and the plane л in (a). If the point S(-5, 1,-4) lies on the line i, find the value of μ. [3 marks] [2 marks]
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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The plane contains the point P(-1,2,-4) and the line
l:r=(2i-5 j−3k)+t(−4i+2j+k)
Show that the Cartesian equation of the plane is 9x+7y+22z = -83.
(a)
(b)
(c)
[4 marks]
Find the point of intersection of the line 12:r=-2ị−7k+λ(i+j−k) and the
plane л in (a).
If the point S(-5, 1,-4) lies on the line i, find the value of μ.
[3 marks]
[2 marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb126cdff-8dab-4db7-a7f7-87720b301f49%2Fc065a7ee-008b-43ab-88c3-9b0645d35e82%2Fl2gdrrv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1
The plane contains the point P(-1,2,-4) and the line
l:r=(2i-5 j−3k)+t(−4i+2j+k)
Show that the Cartesian equation of the plane is 9x+7y+22z = -83.
(a)
(b)
(c)
[4 marks]
Find the point of intersection of the line 12:r=-2ị−7k+λ(i+j−k) and the
plane л in (a).
If the point S(-5, 1,-4) lies on the line i, find the value of μ.
[3 marks]
[2 marks]
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