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140px-Vector norms

Different norms in the plan can be viewed by designing the unit sphere.

"Norma" is Latin for "carpenter's square," which is used to create a line that is perpendicular to another line. The created line was thus called the "normal line." The norma was also used as a standard to compare if objects, like a wall, might be erect (perpendicular to the ground) and so those that met the standard were called "normal" and this use extended to the "typical" element of any type of set. Eventually normal came to mean anything that "met the standard".