Documentation / @interstellar-tools/equations / norm

Function: norm()

function norm(v: Vector3DTupleType): number;

Defined in: helpers/misc.ts:22

Compute the Euclidean norm (length / magnitude) of a 3D vector.

$$\Vert \mathbf{v}\Vert =\sqrt{x^2+y^2+z^2}$$

Uses Math.hypot for numerical stability.

Parameters

Parameter	Type	Description
v	Vector3DTupleType	3D vector [x, y, z].

Returns

number

Vector magnitude (same units as the components of v).

Example

norm([3, 4, 12]); // 13