Question: Find parametric equations for the line through the point (0, 2, 2) that is parallel to the plane x + y + z = 5

Find parametric equations for the line through the point

(0, 2, 2)

that is parallel to the plane

x + y + z = 5

and perpendicular to the line

x = 1 + t, y = 2 t, z = 2t.

(Use the parameter t.)

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