Find the distance from (-4, 2, 6) to the xy-plane.
Grilletta1m
Open question
2022-08-17
Answer & Explanation
Payten Daniels
Beginner2022-08-18Added 11 answers
When they questions like this, they areZSKing the distance from the point to the closest point on the plane, since that is the shortest distance. If you drew a line between these two points, it would be perpendicular (''normal'') to the plane.
The distance of a point (x, y, z) to the xy-plane is the value of the z-coordinate. Where negative values would indicate that the point was on the negative z side of the xy-plane. If you needed to only know the distance though you could take the absolute value.
In the case of (4,-2,6), it is 6 units from the xy-plane because z=6.
(closest point on the plane is (4,-2,0))
Result:
6
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