3D Line Equation Calculator

Point A,,
Point B,,
Point C,,
Equation of a Line：x+y+z+=0

Equation:

The equation of the line is: ax+by+cz+d=0

Here:

a = (By-Ay)(Cz-Az)-(Cy-Ay)(Bz-Az)

b = (Bz-Az)(Cx-Ax)-(Cz-Az)(Bx-Ax)

c = (Bx-Ax)(Cy-Ay)-(Cx-Ax)(By-Ay)

d = -(aAx+bAy+cAz).

What is a 3D Line Equation Calculator?

A 3D Line Equation Calculator is a tool that calculates and represents the equation of a line in three-dimensional space using two given points or a point and a direction vector.

Why Use a 3D Line Equation Calculator?

  1. Visualize 3D Lines – Helps understand lines in space.
  2. Solve Geometry Problems – Useful in vector calculus and physics.
  3. Accurate Computations – Avoids manual errors.
  4. Saves Time – Quickly finds equations and parametric forms.
  5. Essential in Engineering & Graphics – Used in 3D modeling and physics simulations.

When is a 3D Line Equation Calculator Used?

  • In engineering & physics – For motion, forces, and 3D structures.
  • In 3D graphics & modeling – Computer graphics and game development.
  • In robotics & navigation – Calculating paths in 3D space.
  • In mathematics & calculus – Learning vector equations and line intersections.