ComputerModelling1

----- 2.1 Vector Manipulation with Lists --------

v1 = [1,3,5] # test vector 1 v2 = [2,5] # test vector 2

creating a function that can find the magnitude of a vector squared

def find_squared_magnitude(vector): """ Finds the magnitude squared of a vector :param vector: vector represented as python list :return: magnitude of the vector squared """ squared_magnitude = 0 for i in range(len(vector)): squared_magnitude += (vector[i])**2 return squared_magnitude

creating a function that will find the magnitude of a vector

def find_magnitude(vector): """ Finds the magnitude of a vector :param vector: vector represented as python list :return: magnitude of the vector
""" x = (find_squared_magnitude(vector))**0.5 return x

creating a function that will multiply a vector by scalar c

def mult_scalar(c,vector): """ Multiplies a vector by a scalar :param c: scalar ?????? :param vector: vector represented as python list :return: the vector found by multiplying the original vector by the scalar """ new_vector = [] for i in range(len(vector)): new_vector.append(c*(vector[i])) return new_vector

creating a function that will divide a vector by scalar c

def div_scalar(c,vector): """ Multiplies a vector by a scalar :param c: scalar ?????? :param vector: vector represented as python list :return: the vector found by multiplying the original vector by the scalar """ new_vector = [] for i in range(len(vector)): new_vector.append((vector[i])/c) return new_vector

creating a function that will find the vector sum of two vectors

def sum_vectors(vector1,vector2): new_vector = [] if len(vector1) == len(vector2): for i in range(len(vector1)): new_vector.append(vector1[i] + vector2[i]) return new_vector

creating a function that will find the vector difference of two vectors

def diff_vectors(vector1,vector2): new_vector = [] if len(vector1) == len(vector2): for i in range(len(vector1)): new_vector.append(vector1[i] - vector2[i]) return new_vector

creating a function that will find the cross product of two 3d vectors

done using cross product expansion

def cross_product(v1,v2): c_p = [(v1[1]*v2[2] - v1[2]*v2[1]), (v1[2]*v2[0] - v1[0]*v2[2]), (v1[0]*v2[1] - v1[1]*v2[0])] return c_p

creating a function that will find the dot product of two vectors

def dot_product(vector1,vector2): new_vector = 0 if len(vector1) == len(vector2): for i in range(len(vector1)): new_vector += vector1[i]*vector2[i] return new_vector

creating a function that will check if two vectors are the same

def check_same(vector1, vector2): if len(vector1) == len(vector2): so_far = True for i in range(len(vector1)): if vector1[i] != vector2[i]: so_far = False return so_far return False

v1 = [-1,2,3] print(mult_scalar(3,v1))