∥ (parallel to)

Checks if two vectors are parallel.

Syntax

• u ∥ v

  • u and v are vectors of the same dimension

Description

If u and v are vectors of the same dimension, then 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.

Notes

The ∥ operator is implemented by the AreParallel function. This function also supports a third argument specifying the epsilon to use for floating-point comparison.

Examples

❨−27.6, 40.8, −18❩ ∥ ❨2.3, −3.4, 1.5❩

true

See also

• AreParallel

• ∦ (AreNotParallel)

• ⟂ (ArePerpendicular)

• ∠ (angle)

• ⋅ (|, InnerProduct)