Question: Find parametric equations for the line through the point (0, 2, 2) that is parallel to the plane x + y + z = 3

Find parametric equations for the line through the point (0, 2,

Find parametric equations for the line through the point (0, 2, 2) that is parallel to the plane x + y + z = 3 and perpendicular to the line x = 1 + t, y = 2-t, z = 2t. (Use the parameter t.)(x(t), y(t), z(t)) = __________

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