Given the two vectorsr $=3$i $-2$j $+$k and F $=$i $+2$j $+3$k compute by hand $($no calculator or

computer$)(20$pts$)$

a$.$ r x F

b$.$ F x r

c$.$ The magnitude of F

d$.$ The direction F makes with the x$-$axis.

e$.$ r $.$ F

f$.$ F $.$ r

$3)$ Using Matlab, write a short code to redo problem $2(10$pts$)$

$4)$ Calculate a vector orthogonal to r$.(10$pts$)$