Consider the two vectors $a=[1,3,-1]$ and $b=[4,0,8],$ using NumPy find the following $[$Course Objective #$3]$:

a$.$ Dot product of a and $b,$ store in $q3a.$

b$.$ Cross product of a and $b,$ store in $q3b.$

c$.$ Element$-$by$-$element product of a and $b,$ store in $q3c.$

d$.$ Sum of a and b$,$ store in q$3$d$.$

e$.$ Difference between a and b$,$ store in q$3$e$.$

f$.$ Outer product of a and $b,$ store in $q3f.$

$*$ In jupyter lab please!$*$