Template:Vec/doc

There are no reviewed versions of this page, so it may not have been checked for adherence to standards.

This page was automatically imported from Commons any changes will be overwritten, the source page is here (edit)

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

Parameters edit

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 edit

No {{math}} edit

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}} edit

Illustration of all possibilities for italic A:

	Default	Overarrow	Underarrow
Default	$A \to$	$A \to$	$A \to$
Left	$A \leftarrow$	$A \leftarrow$	$A \leftarrow$
Right	$A \to$	$A \to$	$A \to$
Double	$A \leftrightarrow$	$A \leftrightarrow$	$A \leftrightarrow$

with code:

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

Formulae:

Vorticity of a fluid with velocity field u→:

ω \to = \nabla \to \times u \to

Tangential velocity in rigid body dynamics:

v \to = ω \to \times r \to

Rotating reference frame:

d A' \to ⁄ d t = d A \to ⁄ d t - ω \to \times A \to

d A' \to / d t = d A \to / d t - ω \to \times A \to

See also edit

For more detail see wikipedia page wikipedia:Template:Vec

This content is in the Template Namespace. Used for page-templates that can be re-used across the wiki.

Retrieved from "https://pool.calebcooper.ie/Template:Vec/doc"