Applications of Distance Formula in Coordinate Geometry
Distance Formula has various applications in Mathematics, Sciences, and others and some of the most important applications of the Distance Formula are:
- Distance of a point from the origin is calculated using the Distance Formula.
- Distance between two points in 2D and 3D planes is calculated using the Distance Formula.
- The magnitude of the vector is calculated using the Distance Formula.
- The magnitude of the complex number is calculated using the Distance formula.
Apart from this distance formula also has some real-life applications which are:
- Distance Formula is used to find the distance between two stars.
- Distance Formula is also used to find the distance between various points in the sea and oceans.
- Distance Formula is used to find the linear distance between two points in the Globe.
Distance Formula in Coordinate Geometry
Distance Formula in Coordinate Geometry is used to compute the distance between two points, a point, and a line, and two line segments. The distance formula is based on the Pythagorean theorem. In the formula, d represents the distance, y2 is the y-coordinate of the second point, y1 is the y-coordinate of the first point, x2 is the x-coordinate of the second point, and x1 is the x-coordinate of the first point.
Coordinate geometry, commonly referred to as analytic geometry or Cartesian geometry, is a branch of geometry based on a coordinate system. Its applications include physics, engineering, air travel, rocketry, space research, and spaceflight.
In this article, we will learn about the distance between two points in coordinate geometry, the formula for the distance between two points, a point, a line, a point and a plane, and others in detail.
Table of Content
- What is Distance Formula in Coordinate Geometry?
- Coordinate Distance Calculator
- Distance Between Two Points Formula
- Distance Formula Between Two Points in 2D
- Distance Formula Between Two Points in 3D
- Distance between Two Points in Polar Co-ordinates
- Distance Formula Between a Point and a Line
- Distance Between Two Lines
- Distance From a Point To a Plane
- Distance Between Two Parallel Planes
- Applications of Distance Formula in Coordinate Geometry
- Solved Questions on Distance Formula in Coordinate Geometry
- Practice Problems on Distance Formula in Coordinate Geometry
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