The script drawpgram.py draws a parallelogram constructed by a pair of two-dimensional vectors. Both vectors original from the origin of the Cartesian plane ([0, 0]). Then the script calculates the area and perimeter of the constructed parallelogram consisting of the end points (0,0), (x1, y1), (x2, y2), and (x1+x2, y1+y2).

Source Margalit, Dan and Joseph Rabinoff. 2025. “Determinants and Volumes” Interactive Linear Algebra LibreTexts. Accessed February 8, 2026. https://math.libretexts.org/Bookshelves/Linear_Algebra/Interactive_Linear_Algebra_(Margalit_and_Rabinoff)/04%3A_Determinants/4.03%3A_Determinants_and_Volumes

#  Draw a parallelogram with two vectors
#  Edward Shore, 2/15/2026
#  Numworks
#  drawpgram.py

from math import *
from matplotlib.pyplot import *

print("Draw a parallelogram with 2 vectors")
x1=eval(input("x1? "))
y1=eval(input("y1? "))
x2=eval(input("x2? "))
y2=eval(input("y2? "))

#  Area
area=abs(x1*y2-x2*y1)

#  Perimeter
perim=2*((x1**2+y1**2)**(1/2)+(x2**2+y2**2)**(1/2))


minx=min([x1,x2,x1+x2,0])
maxx=max([x1,x2,x1+x2,0])
miny=min([y1,y2,y1+y2,0])
maxy=max([y1,y2,y1+y2,0])

axis((minx-1,maxx+1,miny-1,maxy+5))

plot([0,x1],[0,y1],'blue')
plot([0,x2],[0,y2],'purple')
plot([x1,x1+x2],[y1,y1+y2],'purple')
plot([x2,x1+x2],[y2,y1+y2],'blue')

str1="area = {0:.6f}".format(area)
text(minx-1,maxy+4.5,str1)

str2="perim = {0:.6f}".format(perim)
text((minx+maxx)/2,maxy+4.5,str2)

show()