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3. [-77.14 DETAIL (a) Find parametric equations for the line through (5, 3, 6) that is perpendicular to the plane x - y + 3z

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3. [-77.14 DETAIL (a) Find parametric equations for the line through (5, 3, 6) that is perpendicular to the plane x - y + 3z = 5. (Use the parameter t.) ( x(t ) , y (t) , z(t) ) = (b) In what points does this line intersect the coordinate planes? xy-plane (x, y, z) = yz-plane (x, y, z) = xz-plane (x, y, z) =

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