(a) Find the distance from (2,−7,8) to the xy-plane.
The distance from any point to the xy-plane is the absolute value of the z-coordinate point.
The absolute value of the z-coordinate of the point (2,−7,8) is which is 8.
Thus, the distance from the point (2,−7,8) to the xy-plane is 8.
(b) Find the distance from (2,−7,8) to the yz-plane.
The distance from any point to the yz-plane is the absolute value of the x-coordinate point.
The absolute value of the x-coordinate of the point (2,−7,8) is which is 2.
Thus, the distance from the point (2,−7,8) to the yz-plane is 2.
(c) Find the distance from (2,−7,8) to the xz-plane.
The distance from any point to the xz-plane is the absolute value of the x-coordinate point.
The absolute value of the y-coordinate of the point (2,−7,8) is which is 7.
Thus, the distance from the point (2,−7,8) to the xz-plane is 7.
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