using python

Create a class to handle x,y,z vectors. The class should have the following features

1) create a vector using v = myvector(x,y,z) to initialize the vector

2) find the magnitude of the vector v.mag() returns the magnitude

2) add two vectors so v1=myvector(x,y,z) v2=myvector(x,y,z) v3 = v1+v2

3) v.format() returns a string of the form xi + yj + zk

4) perform cross product when vectors are multiplied v3 = v1 * v2 v3 is the cross product v1 and v2

5) Challenge: does vector scaling so v3 = v1*10 returns a vector 10 time v1. This feature must not interfere with (4) above.

Program structure

complex class definition here...

# ------------- Main -----------

a = vector(1,2,1)

b = vector(4,1,7)

print(a.format(), "Mag = ", a.mag())

print(b.format(), "Mag = ", b.mag())

print("a + b =", (a.add(b)).format())

print("a cross b = ", (a.cross(b)).format())