Answer: Properties of planes Find the points at which the

Chapter 12, Problem 21E

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QUESTION:

Properties of planes  Find the points at which the following planes intersect the coordinate axes and find equations of the lines where the planes intersect the coordinate planes. Sketch a graph of the plane.

x+3y-5z-30=0

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QUESTION:

Properties of planes  Find the points at which the following planes intersect the coordinate axes and find equations of the lines where the planes intersect the coordinate planes. Sketch a graph of the plane.

x+3y-5z-30=0

ANSWER:

Solution 21EStep 1 of 5:In this problem we need to find the at which the plane x + 3y 5z 30 = 0 intersect the coordinate axes and we have to find equations of the lines where the planes intersect the coordinate axes.Let P be the plane described by the above equation.The point at which intersects the axis must have . Substitute into the equation of we getso intersects the axis at .

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