Equation of a Plane Passing Through 3 Non Collinear Points

# Equation of a Plane Passing Through 3 Non Collinear Points

## Non-Collinear Points – Equation of Plane

There are three non-collinear points, $$A, B,$$ and $$C$$ in the plane. The equation of the plane passing through these points is:

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$ax + by + cz = d,$

where $$a, b,$$ and $$c$$ are the coordinates of points $$A, B,$$ and $$C,$$ respectively, and $$d$$ is the distance between points $$A$$ and $$B,$$ points $$B$$ and $$C,$$ or points $$C$$ and $$A$$.

## Perpendicular Planes to Vectors and Points

Perpendicular planes to vectors and points are planes that intersect a vector or point at a right angle. This means that the plane is perpendicular to the vector or point, and the angle between the plane and the vector or point is 90 degrees.

## Equation of Plane Passing through 3 Non-Collinear Points

The equation of a plane passing through three non-collinear points is \begin{align*}Ax + By + Cz = D\end{align*}, where A, B, C, and D are real numbers.

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