Write a MATLAB code that ask users to enter two vectors vec$(a)$ and vec$(b)$ in $R^3$ as inputs and it outputs five results:

Output $1$: dot product vec$(a)*vec(b)$

Output $2$: cross product vec$(a)$vec$(b)$

Output $3$: smallest angle among vectors $$

Output $4$: normal vector vec$(n)$ as specified above

Output $5$: shortest distance $D_0$ as specified above.