ਫਰਮਾ:Vec/doc

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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}}

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

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}}

Math templates

Functions
Numeral systems

Functions	elementary arithmetic precision val (value formatting) percentage
Numeral systems	{{#invoke:BaseConvert\|XtoY}} binary decimal2Base hex2dec hexadecimal octal quaternary quinary rn roman senary ternary vigesimal

Conversions

convert	many units (see: list)
cvt	abbreviated {{convert}}
convinfobox	{{convert}} for infoboxes
bbl to t	barrels of oil to tonnes
long ton	long hundredweights, quarters and pounds to kilograms; long tons and hundredweights to pounds and metric tons
miles-chains	miles and chains to kilometres linking "chains"

decdeg	degrees, minutes, and seconds to decimal degrees
deg2dms	decimal degrees to degrees, minutes, and seconds
deg2hms	decimal degrees to hour angle (in hours, minutes, and seconds)
hms2deg	hour angle (in hours, minutes, and seconds) to decimal degrees
inflation	calculate inflation of Consumer Price Index-related prices
pop density	population density in an area
track gauge	railway track gauges

Notation and formatting

bigmath	bigger font to match TeX `\displaystyle` (standalone formulas only)
bra-ket braket bra ket	bra–ket notation
ceil, floor	calculations :mw:Help:#expr; formatting indicators ⌈3.14⌉, ⌊3.14⌋ (no calculation performed)
fraction	slant fractions ³⁄₅ (not for maths/science articles; use standing or upright fractions `{{sfrac}}` instead)
intmath	integral symbols
langle rangle angbr	angular brackets
ldelim rdelim	multiline delimiters (2–5 lines inclusive)
abs	absolute values (paired vertical lines)
math	short text-based formulas
mathcal	[mathematical] calligraphic font; alternative to LaTeX `\mathcal{...}`

mvar	individual italicized maths variables in normal text
overline underline	a line set above/below a sequence of characters
overarc	an arc set above a sequence of characters
overset underset	arbitrary characters/diacritics set above/below one another
pars	parentheses that can be resized $(\sum)$
sfrac	"standing" or upright fractions 3/5 (use in maths/science articles instead of`{{fraction}}`)
sub sup su	subscripts and superscripts
tmath	Wrap TeX in <math> tags
tombstone	symbol indicating the end of a proof
val	measurement values, uncertainties and units
vec	various overarrows, underarrows, etc.

Boxes
Tags
Notices

Boxes	Tags
arithmetic operations calculus Infobox mathematical function functions	metricate undue precision units attention

Category · Module:Math

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