VECTOR_NORM

VECTOR_NORM returns the Euclidean norm of a vector as a BINARY_DOUBLE. This value is also called the magnitude or size and represents the Euclidean distance between the vector and the origin. For a vector v = (v1, v2, ..., vn), the Euclidean norm is given by ||v|| = SQRT(v12 + v22 + ... + vn2).

Syntax

Description of the illustration vector_norm.gif

Parameters

expr must evaluate to a vector.

If expr is NULL, NULL is returned.

Example

SELECT VECTOR_NORM( TO_VECTOR('[4, 3]', 2, FLOAT32) );

VECTOR_NORM(TO_VECTOR('[4,3]',2,FLOAT32))
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5.0