Home Back

Line Of Intersection Of Two Planes Calculator With Points

Line of Intersection Calculation:

\[ \text{Given two planes } \Pi_1: \vec{n_1} \cdot (\vec{r} - \vec{r_1}) = 0 \text{ and } \Pi_2: \vec{n_2} \cdot (\vec{r} - \vec{r_2}) = 0, \text{ the line of intersection is } \vec{r} = \vec{a} + t\vec{d} \] \[ \text{where } \vec{d} = \vec{n_1} \times \vec{n_2} \text{ and } \vec{a} \text{ is a point on both planes} \]

Plane 1 (Three Points)

Plane 2 (Three Points)

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Line of Intersection of Two Planes?

The line of intersection between two planes is the set of all points that lie on both planes simultaneously. In 3D space, two distinct planes that are not parallel will always intersect along a straight line.

2. How Does the Calculator Work?

The calculator uses the following mathematical principles:

\[ \text