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7. Find the intersection, if any, of the line (x,y,z) = (2, 1, 4) + t (1,0,1) and the plane 3x - 4y - 3z

7. Find the intersection, if any, of the line (x,y,z) = (2, 1, 4) + t (1,0,1) and the plane 3x - 4y - 3z - 9 = 0. 8. Solve the following system of equations and give a geometrical interpretation of the result. xty+z=1 x + 2y + 3z = 3 x + 4y + 6z = 5

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