components of one vector in terms of another.py

1.	Enter a vector b and find the projection of b orthogonal to a given vector u.
2.	Display the components of one vector in terms of another.


def dot(x,y): 
   return sum([x[i]*y[i] for i in range(len(x))]) 
def scalar(a,v): 
   return[a*v[i] for i in range(len(v))] 
def sub(u,v): 
   return[u[i]-v[i] for i in range(len(v))] 
def project_along(b,v): 
   sigma=(dot(b,v)/dot(v,v)) if dot(v,v) !=0 else 0 
   return scalar(sigma,v) 
def project_orthogonal(b,v):return sub(b,project_along(b,v)) 
 
def project_orthogonalvectorset(b,s): 
   for i in range(len(s)):
       v=s[i]
       b=project_orthogonal(b,v)
       return(b)

print(project_orthogonal([9,6,11],[5,7,14]))