Question:

The distance of the point P(a, b, c) from the x-axis is

Updated On: Jul 7, 2022
  • $\sqrt{b^2 + c^2}$
  • $\sqrt{a^2 + c^2}$
  • $\sqrt{a^2 + b^2}$
  • none of these
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The Correct Option is A

Solution and Explanation

Let (a, 0, 0) be a point on x-axis. Required distance $= \sqrt{(a - a^2) + (b - 0)^2 + (c - 0)^2}$ $ = \sqrt{b^2 + c^2}$
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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