a$.$ Construct a numeric vector named vec$\_$num containing the following values using the function $).$

$-10,-8,-6,-4,-2,0,10,11,12,13,14$

b$.$ Perform the following operations and print your results:

i$.$ Raise vec$\_$num to the power of $2.$

ii$.$ Raise $e$ to the power of vec$\_$num.

$1$

iii. Using the function rep$()$ create a vector of $7$ repeated $11$ times named vec$\_$seven. Subtract vec$\_$seven from vec$\_$num.

iv$.$ Use the following code to create a vector of Boolean vector of length $n=11$ named vec$\_$bool. Multiply vec$\_$num by vec$\_$bool.

vec$\_$bool c$($rep$($TRUE$,5),$ rep$($FALSE$,6))$

c$.$ Using the seq$()$ function with the by argument, define a vector object named vec$\_$seq$\_$by containing all integers between $3$ and $500$ that are multiples of three. Print only the first and last $10$ values using the following code:

print$\_$first$\_$and$\_$last$($vec$\_$seq$\_$by$)$

d$.$ Using the seq$()$ function with the length, out argument, define an ordered vector of numbers named vec$\_$seq$\_1$en between $3$ and $500$ of length equal to the length of vec$\_$seq$\_$by$.$ Print only the first and last $10$ values using the following code:

print$\_$first$\_$and$\_$last$($yec$\_$seq$\_$len$)$

How does this vector differ from the vector in $($c$)?$

e$.$ Try to define a vector with the seq$()$ vector using both the length and by arguments and comment on what happens.