模板:Vec/doc

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

Parameters

The template has three parameters:

1. 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.
2. Arrow direction: Select one of left, right, or double for the arrows →, ←, or ↔ respectively. The default is right.
3. 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}}

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	{{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→ = ∇→ × 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→

See also

• For quantum state vectors, see {{braket}}.
• For more general templates, allowing arbitrary characters and diacritics set above or below one another, see {{overset}} and {{underset}}.