Template:Vector/doc

This is a documentation subpage for Template:Vector.
It may contain usage information, categories and other content that is not part of the original template page.

Shortcut

{{vec}}

This template creates vectors using arrow notation in HTML, as an alternative to boldface.

Parameters

The template has three parameters:

Vector symbol: Insert the character, i.e. A, Ω etc. Default is A; to immediately show the template is in use, and prevent the arrow moving and overlapping text to one side.
Arrow direction: Select one of left, right, or double for the arrows →, ←, or ↔ respectively. The default is right.
Arrow position: Select one of under or over to place the arrow over or under the character symbolizing the vector. The default is over.

The defaults for 2 and 3 are set to match the LaTeX analogue of \vec: ${\vec {A}}$ .

Examples

No {{math}}

Illustration of all possibilities for italic A:

	Default	Overarrow	Underarrow
Default	A→	A→	A→
Left	A←	A←	A←
Right	A→	A→	A→
Double	A↔	A↔	A↔

with code:

	Default	Overarrow	Underarrow
Default	`{{vec\|''A''}}`	`{{vec\|''A''\|\|over}}`	`{{vec\|''A''\|\|under}}`
Left	`{{vec\|''A''\|left}}`	`{{vec\|''A''\|left\|over}}`	`{{vec\|''A''\|left\|under}}`
Right	`{{vec\|''A''\|right}}`	`{{vec\|''A''\|right\|over}}`	`{{vec\|''A''\|right\|under}}`
Double	`{{vec\|''A''\|double}}`	`{{vec\|''A''\|double\|over}}`	`{{vec\|''A''\|double\|under}}`

Formulae:

Vorticity of a fluid with velocity field u→:

ω→ = ∇→ × u→

Tangential velocity in rigid body dynamics:

v→ = ω→ × r→

Rotating reference frame:

dA′→⁄dt = dA→⁄dt − ω→ × A→

⁠dA′→dt⁠ = ⁠dA→dt⁠ − ω→ × A→

Including {{math}}