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Template:Vector/doc

From Wikipedia, the free encyclopedia

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

Parameters

[edit]

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

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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→ 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

[edit]
  • 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}}