skspatial.objects.Vector.is_parallel

Vector.is_parallel(other: Union[numpy.ndarray, Sequence], **kwargs: float) bool[source]

Check if the vector is parallel to another.

Two nonzero vectors \(u\) and \(v\) are parallel if

\[\texttt{abs}(\texttt{cosine_similarity}(u, v)) = 1\]

The zero vector is parallel to all vectors.

Parameters
otherarray_like

Other vector.

kwargsdict, optional

Additional keywords passed to math.isclose().

Returns
bool

True if the vector is parallel; false otherwise.

Examples

>>> from skspatial.objects import Vector
>>> Vector([0, 1]).is_parallel([1, 0])
False
>>> Vector([1, 1]).is_parallel([1, 1])
True
>>> Vector([-1, 5]).is_parallel([2, -10])
True
>>> Vector([1, 2, 3]).is_parallel([3, 6, 9])
True
>>> Vector([1, 2, 3, 4]).is_parallel([-2, -4, -6, -8])
True

The zero vector is parallel to all vectors.

>>> Vector([1, 2, 3]).is_parallel([0, 0, 0])
True