Find the equation of the plane through the point A and parallel to the plane P, where A(2,1,-3),p: x-3y+z=-17?

Answer 1

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any plane parallel to plane x-3y+z=-17 is
x-3y+z= d
it passes through A(2, 1, -- 3) so
2 -- 3(1) + (--3) = d Or d = -- 4
required plane is x --3y + z + 4 = 0

Answer 2

p: p: x-3y+z=-17 P||(a): x-3y+z = -4 = = 2 - 3 - 3