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A plane Π is perpendicular to the plane with equation 3x−2y+z=13, and contains the points A⎝⎛5−31⎠⎞ and B⎝⎛8−43⎠⎞.
Show that Π has the equation x+y−z=1.
Let L be the line of intersection of the two planes.
Find a vector equation for l.
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