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Directed Line Segment Calculator Online

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The Directed Line Segment Calculator is a powerful tool used in mathematics to determine the distance between two points in a coordinate system. This distance is calculated using a specific formula that considers the coordinates of both the starting and ending points. The formula is as follows:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Where:

  • x1 and y1 are the coordinates of the starting point.
  • x2 and y2 are the coordinates of the ending point.
  • sqrt denotes the square root.

This formula enables precise measurement of the distance between two points, providing a fundamental tool for various applications in geometry, physics, and engineering.

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General Terms Table

To facilitate understanding, here’s a table of general terms that people commonly search for in relation to the Calculator:

TermDefinition
Coordinate SystemA system that uses coordinates to uniquely determine a point in space.
DistanceThe measurement of how far apart two points are in space.
Coordinate PointsOrdered pairs (x, y) that define a point in a plane.
Square RootThe mathematical operation that returns the square root of a number.

This table serves as a quick reference, aiding in understanding key terms associated with the Calculator.

Example of Directed Line Segment Calculator

Let’s consider an example to illustrate the application of the Directed Line Segment Calculator:

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Suppose we have the following coordinates:

  • Starting Point (x1, y1): (3, 5)
  • Ending Point (x2, y2): (7, 9)

Using the formula mentioned earlier, we can calculate the distance:

Distance = sqrt((7 - 3)^2 + (9 - 5)^2)

After computation:

Distance = sqrt(16 + 16) = sqrt(32)

Therefore, the distance between the two points is approximately 5.66 units.

Most Common FAQs

Q: Can I use the calculator for 3D coordinates?

A: No, the Directed Line Segment Calculator is specifically design for 2D coordinates in a plane.

Q: Are negative coordinates acceptable?

A: Yes, negative coordinates are valid input, and the calculator will provide accurate results.

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