Answer :

Given point P(x,y,z)



From the figure, we can say that Point E (x,y,0) is the projection of Point P on the XY-plane ( the z-coordinate remains zero on XY-plane).


Distance between two points is given by


Here the distance between Point P & E will give the distance of the point P from the XY-plane.


Here a1 = x, b1 =y , c1 =z


a2 = x, b2 = y, c2 = 0


Distance from P to E =



= √ (-z)2


= √ (z)2


= z


Therefore, the distance between the XY plane and point P is z units.




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