AreParallel

Checks if two vectors are parallel.

Syntax

• AreParallel(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 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 floating-point 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

• ∥

• ∦ (AreNotParallel)

• ⟂ (ArePerpendicular)

• ∠ (angle)

• ⋅ (|, InnerProduct)