AreParallel
Checks if two vectors are parallel.
Syntax

AreParallel(u, v[, ε])

u
andv
are vectors of the same dimension 
ε
is the epsilon to use for floatingpoint comparison

Description
If u
and v
are vectors of the same dimension, then AreParallel(u, v)
is true
iff u
and v
are parallel, that is, iff there exists a scalar κ
such that u = κ⋅v
or v = κ⋅u
. The specified value of ε
will be used as the epsilon for floatingpoint comparisons. If not specified, a default epsilon will be used.
Notes
The ∥
infix operator is implemented by the AreParallel
function. This operator doesn’t support a custom epsilon.
Examples
❨−27.6, 40.8, −18❩ ∥ ❨2.3, −3.4, 1.5❩
true
AreParallel(❨1, 2, 3❩, ❨10, 20, 30.0001❩, 1E−3)
true
See also

⋅ (, InnerProduct)