P -> Q
magnitude of v = distance between P and Q
h^2 = (△x)^2 + (△y)^2
v = √(Vx^2 + Vy^2)
-A unit vector is a vector whose magnitude is 1.
-A vector’s direction can be represented by a unit vector.
Normalization: process of finding a unit vector in the same direction as a given vector.
[0 0 0] = 0
||0|| = 0
1 / ||0|| = ?
def magnitude(self):
coordinates_squared = [x**2 for x in self.coordinates]
return sqrt(sum(coordinates_squared))
def normalized(self):
try:
magnitude = self.magnitude()
return self.times_scalar(1./magnitude)
except ZeroDivisionError:
raise Exception('Cannot normalize the zero vector')
def plus(self, v):
new_coordinates = [x+y for x,y in zip(self.coordinates, v.coordinates)]
return Vector(new_coordinates)
