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How to find the equation of the plane that passes through the line of intersection of the planes $x+5y+z=0$ and $x-z+4=0$, and that forms a 45 degree angle with the plane $x-4y-8z+12=0$?

  • What have you tried so far? This sort of question comes up all the time here. You ought to be able to find an answer by searching for them. – amd Nov 27 '16 at 19:35
  • Try exploring some of the related questions on the right. – amd Nov 27 '16 at 19:55

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