Vectors

Vectors is a simple library toolkit dealing with common vector and point logic in the 3-dimensional space.

Supports commonly used vector math functions including:

• Vector magnitude
• Addition with another vector or a real number.
• Multiplication by another vector or a real number.
• Dot product
• Cross/scalar product
• Angle between vectors
• Check if two vectors are perpendicular, parallel or non-parallel

Installation

pip install vectors

Documentation

##Usage There are multiple ways to create our vector instances using the vectors module.

We can first initialize some vectors and points calling their repsective class contructors as follows.

from vectors import Point, Vector

v1 = Vector(1, 2, 3) #=> Vector(1, 2, 3)
v2 = Vector(2, 4, 6) #=> Vector(2, 4, 6)

p1 = Point(1, 2, 6) #=> Point(1, 2, 3)
p2 = Point(2, 0, 2) #=> Point(2, 4, 6)

We can also create a Point instance or a Vector instance with a list using the class method from_list().

components = [1.2, 2.4, 3.8]

v = Vector.from_list(components) #=> Vector(1.2, 2.4, 3.8)

We can also create our Vectors from two Point instances using the classmethod from_points().

v = Vector.from_points(p1, p2) #=> Vector(1, -2, -4)

We can also get access to the vector array to use it with other libraries.

v1.vector #=> [1, 2, 3]

##Magnitude

We can get the magnitude of the vector easily.

v1.magnitude() #==> 3.7416573867739413

##Addition

We can add a real number to a vector or compute the vector sum of two vectors as follows.

v1.add(2) #=> Vector(3.0, 4.0, 5.0)

v1.sum(v2) #=> Vector(3.0, 6.0, 9.0)

Both methods return a Vector instance.

##Multiplication

We can multiply a vector by a real number.

v1.multiply(4) #=> Vector(4.0, 8.0, 12.0)

The above returns a Vector instance.

##Dot Product

We can find the dot product of two vectors.

v1.dot(v2) #=> 28

We can also use angle theta on the dot function.

v1.dot(v2. 180)

Dot product returns a real number.

##Cross/Scalar Product

We can find the cross product of two vectors.

v1.cross(v2) #=> Vector(0, 0, 0)

Cross product returns a Vector instance, which is always perpendicular to the other two vectors.

##Angle Theta

We can also find the angle theta between two vectors.

v1.angle(v2) #=> 0.0

Angle is a measured in degrees.

##Parallel, Perpendicular, Non-Parallel

We can check if two vectors are parallel, perpendicular or non-parallel to each other.

v1.parallel(v2) #=> True
v1.perpendicular(v2) #=> False
v1.non_parallel(v2) #=> False

All of the above return either True or False.

#TODO

• Create Analytic Geometry Toolkit based on the vectors toolkit.

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