 # Find the distance from(2,-7,8) to each of the following. a) the xy-plane-? b)the yz-plane-? c)the xz-plane-? pedzenekO 2021-02-08 Answered
Find the distance from(2,-7,8) to each of the following.
a) the xy-plane-?
b)the yz-plane-?
c)the xz-plane-?
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(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 $|8|$ 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 $|2|$ 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 $|-7|$ which is 7.
Thus, the distance from the point (2,−7,8) to the xz-plane is 7.