Consider the line x = 52t, y = 3+7t, z = 4t and theplane ax+by+cz = d. All the following

Chapter 17, Problem 74

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Consider the line x = 52t, y = 3+7t, z = 4t and theplane ax+by+cz = d. All the following questions havemany possible answers. Find values of a, b, c, d such that:(a) The plane is perpendicular to the line.(b) The plane is perpendicular to the line and throughthe point (5, 3, 0).(c) The line lies in the plane.

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