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# You know its nice to get the answer, but I'm trying to learn these so please explain it in detail please. 1) Find an equation of the plane: The plane that passes through the point (â2, 3, 1) and contains the line of intersection of the planes x + y â z = 5 and 3x â y + 5z = 4 2) Find an equation of the plane: The plane that passes through the line of intersection of the planes x â z = 2 and y + 4z = 3 and is perpendicular to the plane x + y â 2z = 5 3) Find the point at which the line intersects the given plane: x = 4 â t, y = 3 + t, z = 2t; x â y + 3z = 5 4) Find the cosine of the angle between the planes : x + y + z = 0 and x + 4y + 3z = 7 5) Find an equation for the plane consisting of all points that are equidistant from the points (7, 0, â2) and (9, 6, 0). 6) Find the distance from the point to the given plane : (1, â9, 5), 3x + 2y + 6z = 5 7) Find the distance between the given parallel planes. 3x â 2y + z = 9, 6x â 4y + 2z = 3

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15 Aug 2019

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