# Scalars and antiscalars

Revision as of 01:43, 3 August 2022 by Eric Lengyel (talk | contribs) (Eric Lengyel moved page Scalar to Scalars and antiscalars)

A *scalar* in a geometric algebra is an element having grade 0. Scalars are just ordinary real numbers, and they do not involve any basis vectors.

The basis element representing the unit scalar is denoted by $$\mathbf 1$$, a boldface number one. The unit scalar $$\mathbf 1$$ is the multiplicative identity of the geometric product.

For a general element $$\mathbf a$$, the notation $$a_{\mathbf 1}$$ means the scalar component of $$\mathbf a$$.