show that for every real number k the plane x 2y z 3 k2x y z 1 0 contains the line of intersecti

Name: show that for every real number k the plane x 2y z 3 k2x y z 1 0 contains the line of intersection of the planes x 2y z 3 0 and 2x y z 1 0 18342
Uploaded: 2023-08-22T18:03:16-08:00
Duration: 1 min 22 s
Channel: Sri K
Description: show that for every real number k the plane x 2y z 3 k2x y z 1 0 contains the line of intersection of the planes x 2y z 3 0 and 2x y z 1 0 18342

Question

Manisha Sarker · Accepted Answer

First, we need to find the line of intersection of the planes x - 2y + z + 3 = 0 and 2x - y - z

Question

Show that for every real number k the plane x - 2y + z + 3 + k(2x - y - z + 1) = 0 contains the line of intersection of the planes x - 2y + z + 3 = 0 and 2x - y - z + 1 = 0.

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