Vector Equation of Plane/Also presented as

Equation of Plane: Also presented as

The vector form of the equation of the plane can also be presented in the form:

$\mathbf r \cdot \mathbf n = p$

where:

$\mathbf r$ is the position vector of an arbitrary point on $P$

$\mathbf n$ is the unit normal vector to $P$

$p$ is the length of the normal vector to $P$ through the origin.

Proof

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): plane: 1.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): plane: 1.