AreNotParallel

Checks if two vectors are not parallel.

Syntax

• AreNotParallel(u, v[, ε])

  • u and v are vectors of the same dimension

  • ε is the epsilon to use for floating-point comparison

Description

If u and v are vectors of the same dimension, then AreNotParallel(u, v) is true iff u and v are not parallel, that is, iff there is no scalar κ such that u = κ⋅v or v = κ⋅u. The specified value of ε will be used as the epsilon for floating-point comparisons. If not specified, a default epsilon will be used.

Notes

The ∦ infix operator is implemented by the AreNotParallel function. This operator doesn’t support a custom epsilon.

Examples

❨3, 1, 2❩ ∦ ❨−2, 5, 1❩

true

AreNotParallel(❨3, 1, 2❩, ❨6, 2, 4.001❩, 1E−2)

false

See also

• ∦

• ∥ (AreParallel)

• ⟂ (ArePerpendicular)

• ∠ (angle)

• ⋅ (|, InnerProduct)