Answer:
2x - y+ 5z + 3 = 0
Step-by-step explanation:
The two vectors can be shown like this:
Any plane passing through the intersection x - z = 1 and y+ 3z = 2 can be given by:
(x - z - 1) + k (y + 3z - 2) = 0
This is the same as
x - 1 + z (-1 + 3k) + y (k) - 2k = 0
This is perpendicular to x + y - 4 z = 0
Using the dot product of normal vectors you can find the value of k.
The value of k will be 4/11
Using the value of k gives 2x - y+ 5z + 3 = 0
