 (vertical line)
Dot (inner, scalar) product of vectors.
Syntax

(uv)

u
andv
are vectors of the same dimension

Description
If u
and v
are vectors of the same dimension, then (uv)
is their dot (inner, scalar) product. If both vectors are real, so is (uv)
. If one or both of the vectors are complex, the complex inner product is used and the result is a complex number (typewise, that is: its imaginary part may well be zero).
Examples
u ≔ ❨1, 0, 1, 1❩/√3; v ≔ ❨−1, 1, 0, 1❩/√3; w ≔ ❨0, 1, 1, −1❩/√3
a ≔ ❨1, 5, 2, 1❩;
(au)⋅u + (av)⋅v + (aw)⋅w
⎛−0.333333333333⎞ ⎜ 3.66666666667 ⎟ e⎜ 3.33333333333 ⎟ ⎝ 1 ⎠
a ≔ ❨4, 1, 2❩; b ≔ ❨1, 0, 2❩; c ≔ ❨−2, 1, −1❩;
(a  b × c)
−9
Notes
The dot (inner, scalar) product between u
and v
can also be written u⋅v
.
The 
operator is implemented by the InnerProduct
function.