In [1]:
import sympy as sym
import numpy as np
import matplotlib.pyplot as plt
from IPython.display import display,Math
from mpl_toolkits.mplot3d import Axes3D
In [2]:
row_vec = np.array([4,2])
col_vec = np.array([[-2],[3]])

print(row_vec)
print(col_vec)

[4 2]
[[-2]
 [ 3]]
In [3]:
display(Math(sym.latex(sym.sympify(row_vec))))
display(Math(sym.latex(sym.sympify(col_vec))))
$\displaystyle \left[\begin{matrix}4 & 2\end{matrix}\right]$
$\displaystyle \left[\begin{matrix}-2\\3\end{matrix}\right]$
In [4]:
plt.plot([0,row_vec[0]],[0,row_vec[1]],'r',label='row vector')
plt.plot([0,col_vec[0]],[0,col_vec[1]],'b',label='column vector')

plt.axis('square')
plt.axis([-5,5,-5,5])
plt.grid()
plt.legend()
plt.show()

Exercise

In [5]:
v = np.array([3,0,-4])
w = np.array([-1,1,3])

fig = plt.figure(figsize=plt.figaspect(1))
ax = fig.add_subplot(111, projection='3d')

ax.plot([0,v[0]],[0,v[1]],[0,v[2]],'b',linewidth=3)
ax.plot([0,w[0]],[0,w[1]],[0,w[2]],'r',linewidth=3)

ax.plot([-5,5],[0,0],[0,0],'--',color=[.7,.7,.7])
ax.plot([0,0],[-5,5],[0,0],'--',color=[.7,.7,.7])
ax.plot([0,0],[0,0],[-5,5],'--',color=[.7,.7,.7])

ax.set_xlim3d(-5,5)
ax.set_ylim3d(-5,5)
ax.set_zlim3d(-5,5)
plt.show()