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The points (2,1,-5), (1, 2, 11), and (3, 3, 4) lie on a unique plane. Use linear algebra to find the equation of the

 

The points (2,1,-5), (1, 2, 11), and (3, 3, 4) lie on a unique plane. Use linear algebra to find the equation of the plane and then determine where the line crosses the z-axis. Equation of plane (use x, y, and z as the variables): Crosses the z-axis at the point:

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