ഫലകം:Vec/doc

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

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}}