Question

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

Answer 1

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

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