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Exploring VECTOR Mathematics

Project description

vector_python_package

Downloadsand counting

A python package for vector maths

Installation of the Package

pip install myvectors 

having installed math python library makes the things smoother

Package Functionalities

The vector is represented by LIST[data structure] in the package

ex: if v(2,3,4) is a vector at (2,3,4) in space then it should be written as v1=[2,3,4] where v1 is a list

1.Magnitude of a vector : A=[2,3,4] magnitude of a given vector
from myvector import mag
mag(A)

Output : float number

2. Dot product : A=[2,3,4] B = [1,1,2]

Arguments : two vectors whose dot product is required

from myvector import dot
dot(A,B)
3. Cross product : A=[2,3,4] B = [1,1,2]

Arguments : two vectors whose cross product is required

from myvector import cross
cross(A,B)
4.Projection : A=[1,4,0] B=[4,2,4]

Arguments : two vectors here first vector passed as argument is projected over the second vector

from myvector import projection
projection(A,B)

Output : number i.e projection of A on B

5.Angle : A=[3,4,-1] B=[2,-1,1]

Arguments : two vectors , cos/sin , mode(if mode = 0 then angle is in terms of radian if mode = 1 then degrees)

from myvector import angle
angle(A,B,"cos",0) # angle in terms of cos and radians
angle(A,B,"sin",1) # angle in terms of sin and degrees

Output : angle in radians if mode = 0 or in terms of degree if mode = 1

6. Triangle area : the vertices of triangle be A=[1,1,1] B=[1,2,3] C=[2,3,1]

Arguments : the co - ordinates of the vertices of the triangle

from myvector import trianglearea
trianglearea(A,B,C)

Output : Area

7.sectionsutram : divide the line joining two points in the ratio r1:r2

A=[2,3,4] B=[4,1,-2]

Arguments : two vectors, ei representing type of division ('e'= external and 'i' = internal),r1,r2

from myvector import sectionsutram
sectionsutram(A,B,ei,r1,r2)

Output: (A list of length 3) basically vector point with x,y,z co-ordinates

8. collinear or not : checks if three vectors are collinear

A=[1,2,3] B=[11,8,12] C=[10,5,7]

from myvector import collinear3
collinear3(A,B,C)

Output : If collinear then output is 1 else 0

9. Scalar Triple Product : if three vectors A,B,C then there scalar triple product is =((AXB)dotproduct(C))

A=[1,2,3] B=[11,8,12] C=[10,5,7]

from myvector import s_triplepro
s_triplepro(A,B,C)
10. Vector Triple Product : if three vectors A,B,C then there scalar triple product is =((AXB)XC)

A=[1,2,3] B=[11,8,12] C=[10,5,7]

from myvector import v_triplepro
v_triplepro(A,B,C)
11. Vector visualization in 3D space: A given vector say 'V' is visualized in 3-Dimensional space

A = [0,0,2]

from myvector import draw_vector
draw_vector(A)

Output : A vector representation in 3-D space. output_draw_vector

Project details


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