class Vecteur:
    def __init__(self, x, y, z):
        self.x = x
        self.y = y
        self.z = z

    def __str__(self):
        return f"Vecteur({self.x}, {self.y}, {self.z})"

    def __eq__(self, other):
        return self.x == other.x and self.y == other.y and self.z == other.z

    def __mul__(self, k):
        return Vecteur(k* self.x, k * self.y, k * self.z)

    def __rmul__(self, k):
        return Vecteur(k* self.x, k * self.y, k * self.z)    
        
    def __add__(self, other):
        return Vecteur(self.x + other.x, self.y + other.y, self.z + other.z)

    def __sub__(self, other):
        return Vecteur(self.x - other.x, self.y - other.y, self.z - other.z)

    def scalaire(self, other):
        return self.x * other.x + self.y * other.y + self.z * other.z

    def norme(self):
        return (self.x**2 + self.y**2 +self.z**2)**0.5

    def colineaire(self, other):
        cdt1 = self.x * other.y == self.y * other.x
        cdt2 = self.z * other.y == self.y * other.z
        return cdt1 and cdt2
        
u = Vecteur(1, 2, -3)
v = Vecteur(0, -1, 3)
w = Vecteur(2, 4, -6)
print(u.colineaire(v))
print(u.colineaire(w))