(a)Find the angle between the line                           r=i+2j-k+gamma(i-j+k) and the plane                           r.(2i-j+k)=4   (b) Find the equation of a plane containing the line of intersection of the planes                            x+y+z=6 and                          2x+3y+4z+5=0

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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(a)Find the angle between the line

                          r=i+2j-k+gamma(i-j+k)

and the plane

                          r.(2i-j+k)=4

 

(b) Find the equation of a plane containing the line of intersection of the planes

                           x+y+z=6

and

                         2x+3y+4z+5=0

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