Template:Vec/doc

From Vigyanwiki
< Template:Vec

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: .

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:

dAdt = dAdtω × A
dA/dt = dA/dtω × 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:

dAdt = dAdtω × A
dA/dt = dA/dtω × 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}}