Category:Definitions/Vector Addition
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This category contains definitions related to Vector Addition.
Related results can be found in Category:Vector Addition.
Vector Addition on Module
Let $\struct {R, +_R, \times_R}$ be a ring.
Let $\struct {G, +_G}$ be an abelian group.
Let $M := \struct {G, +_G, \circ}_R$ be the corresponding module over $R$ (either a left module or a right module).
The group operation $+_G$ on $M$ is known as vector addition on $M$.
Vector Addition on Vector Space
Let $\struct {F, +_F, \times_F}$ be a field.
Let $\struct {G, +_G}$ be an abelian group.
Let $V := \struct {G, +_G, \circ}_R$ be the corresponding vector space over $F$.
The group operation $+_G$ on $V$ is known as vector addition on $V$.
Pages in category "Definitions/Vector Addition"
The following 11 pages are in this category, out of 11 total.
V
- Definition:Vector Addition
- Definition:Vector Addition on Vector Space
- Definition:Vector Addition/Also known as
- Definition:Vector Addition/Module
- Definition:Vector Addition/Vector Space
- Definition:Vector Sum
- Definition:Vector Sum/Also known as
- Definition:Vector Sum/Component Definition
- Definition:Vector Sum/Triangle Law