Question:

The distance of the point (3, 4, 5) from X-axis is

Updated On: Jul 6, 2025
  • 3
  • 5
  • $\sqrt{34}$
  • $\sqrt{41}$
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The Correct Option is D

Solution and Explanation

The foot of perpendicular from (3, 4, 5) on X-axis is (3, 0, 0). Hence, the required distance $ = \sqrt{(3 - 3)^2 + (4 - 0)^2 + (5 - 0)^2 } = \sqrt{41}$.
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Concepts Used:

Coordinates of a Point in Space

Three-dimensional space is also named 3-space or tri-dimensional space.

It is a geometric setting that carries three values needed to set the position of an element. In Mathematics and Physics, a sequence of ‘n’ numbers can be acknowledged as a location in ‘n-dimensional space’. When n = 3 it is named a three-dimensional Euclidean space.

The Distance Formula Between the Two Points in Three Dimension is as follows;

The distance between two points P1 and P2 are (x1, y1) and (x2, y2) respectively in the XY-plane is expressed by the distance formula,
Distance Formula Between the Two Points in Three Dimension

Read More: Coordinates of a Point in Three Dimensions