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Help me solve this question: 4. Consider a plane P that contains the points A(2, 0, 3), B(1, 5, 2), and C(0, 7, 1). (a)

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4. Consider a plane P that contains the points A(2, 0, 3), B(1, 5, 2), and C(0, 7, 1). (a) Write the equations of lines AB and BC (b) What is the equation of plane P (c) What is the acute angle between plane P and the xaxis? ((1) Find the equations of the two parallel planes that are distance 5 away from plane P 5. Find the distances (a) Between 11 = (2 + 213, 1 + t, 3t} and 2 = (4, 5 3t, 1 + 4t) (b) Between the planes 2w y + 52 = 0 and 2:1: y + 52 = 5 (c) From the point (2, 1,1) to the line L = (3 t, t, 1 + 2t)

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