cjenf / kitvector

This package has basic Vector operations.

Vector

This package has basic Vector operations (not suitable for machine learning).

pip install kitvector

Note

This module is just some basic vector operations.

Usage

Suppose you have:

$$ \vec{v}=(v_1, v_2, v_3) $$

$$ \quad and $$

$$ \vec{u}=(u_1, u_2, u_3) $$

import kitvector
v=kitvector.Vector((1, 2, 3))
u=kitvector.Vector((4, 5, 6))

mul_k

Note

Multiply the vector u by a scalar k.

$$ \vec{u}=(u_1, u_2, u_3)⋅𝑘 $$

v.mul_k(3) # output: Vector(3, 6, 9)

dot

Note

The inner product of the vector.

$$ \vec{v} \cdot \vec{u} $$

Vactor.dot(v, u)

cross

Note

The outer product of the vector.

$$ \vec{v} × \vec{u} $$

Vactor.cross(v, u)

magnitude

Note

The size of the vector.

$$ ∥\vec{v}∥ $$

v.magnitude # output: 3.7416573867739413

unit_vector

Note

Unit Vector.

$$ \frac{\vec{v}}{∥\vec{v}∥} $$

v.unit_vector

projection

Note

projection of Vector.

Vector.projection(v, u)

area

Note

Parallelogram area.

Vector.area(v, u)

triangle

Note

Triangle area.

Vector.triangle(v, u)

angle

Note

Return cos0.

Vector.angle(v, u)