Practice Questions on 3D Distance Formula

Q1. Calculate the distance between the points P(-1, 0, 1) and Q(2, -1, 3)

Q2. Calculate the distance of the point (3, -5, 4) from the Origin.

Q3. Calculate the distance between the plane x + 2y – z + 3 = 0 and the Point (1, -2, 1)

Q4. Calculate the distance between two parallel lines 3x + 2y + 5 = 0 and 3x + 2y + 6 = 0

3D Distance Formula

Distance Formula in 3D calculates the distance between two points, a point and a line, and a point and a plane in three-dimensional coordinates as well as a two-dimensional Cartesian Plane.

This article deals with the distance formula of points in three-dimensional space. In three dimensions, a point is represented as P(x, y, z). In this article, we will learn the 3D Distance formula, its derivation, and solved examples based on it.

Table of Content

  • What is 3D Distance Formula?
    • Distance between Two Points in 3D
    • Distance between a Point and Origin in 3D
    • Derivation of 3D Distance Formula between Two Points
    • Distance of Point From a Line
    • Distance of a Point from a Plane
    • Distance Between Parallel Lines
  • Practice Questions on 3D Distance Formula

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What is 3D Distance Formula?

The 3D Distance formula is used to calculate the distance between two points, a point, and a line, and between a point and a plane in a three-dimensional space. 3D geometry comes into the picture to model real-world quantities such as velocity, fluid flows, electrical signals, and many other...

Practice Questions on 3D Distance Formula

Q1. Calculate the distance between the points P(-1, 0, 1) and Q(2, -1, 3)...

3D Distance Formula – FAQs

How is a Point represented in 3D?...