CHW$2\mathrm{.}1.$ Vector Operations: Find missing vector

Recall that a linear combination of three vectors

is any other vector

defined as a sum of scalar multiples

$.$ If the vectors

are linearly independent, then any such linear combination will result in a different sum if at least one of the scalar coefficients

is different.

In this case, three vectors

were linearly combined as above. The vectors

and

$,$ the sum

$,$ and the coefficients

have been given to you, but the value of the vector

has been lost. Write code to calculate the missing vector

$.$

The setup code gives the following variables:

Name Type Description

u $1$d numpy array vector u

v $1$d numpy array vector v

z $1$d numpy array vector z

alpha float coefficient alpha

beta float coefficient beta

gamma float coefficient gamma

Your code snippet should define the following variables:

Name Type Description

w $1$d numpy array vector w

user$\_$code.py