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Does the line with equation (x, y, z) = (5, -4, 6) + u(1,4,-2) lie in...

Does the line with equation (x, y, z) = (5, -4, 6) + u(1,4,-2) lie in the plane with equation (x, y, z) = (3, 1, 2) + s(1,2,-1) + t(2, -1, 1)? If it does not lie on this plane you must solve for where it intersects. Justify your answer algebraically. If the line does not lie on the plane what is  the angle between them?

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