$1$

$.$

$1$

$$Given two vectors in cartesian coordinates:

vec

$($

A

$)$

$=$

$3$

tilde

$($

u

$)$

x

$+$

$4$

u

y

$$and

vec

$($

B

$)$

$=$

$1$

$2$

u

x

$+$

$5$

u

y

Evaluate the following quantities by writing it down and then check your answers by writing a program in MATLAB or Octave using the appropriate commands. Provide screenshots of your code and the command window showing the results received from running your code.

$1$

$.$

$1$

$.$

$1$

$$The scalar product vec

$($

A

$)$

$*$

v

e

c

$($

B

$)$

$.$

$1$

$.$

$1$

$.$

$2$

$$The angle between the two vectors.

$1$

$.$

$1$

$.$

$3$

$$The scalar product vec

$($

A

$)$

$*$

v

e

c

$($

A

$)$