Find the distance of the point (2, 3, 4) from the x-axis.

Given,


The point is (2,3,4). Let this point be P.



From the figure, point E (2,0,0) is the projection of point P(2,3,4) on the x-axis.


The distance between the points P & E will give the distance of the point P from x-axis.


Distance between two points is given by


Here


a1 =2 , b1 =3 , c1=4 and a2 =2 , b2 =0 , c2 = 0


Distance between P and x-axis is





= √ 25


= 5


Therefore the distance between, the x-axis and the Point P (2,3,4) is 5 units.


1