$1.$ Create a vector of three elements $`(2,4,6)`$ and name that vector $`$vec$.$a$`.$ Create a second vector, $`$vec$.$b$`,$ that contains $`(8,10,12)`.$ a$.$ Add these two vectors together and name the result $`$vec$.$c$`.$ b$.$ Create a vector, named $`$vec$.$d$`,$ that contains only two elements $`(14,20)`.$ Add this vector to $`$vec$.$a$`.$ What is the result and what do you think $`$R$`$ did $($look up the recycling rule using $`$Google$`)?$ What is the warning message that $`$R$`$ gives you? Warning: longer object length is not a multiple of shorter object length$$ c$.$ Next add $5$ to the vector $`$vec$.$a$`.$ What is the result and what did $`$R$`$ do$?$ Why doesn$$t it give you a warning message similar to what you saw in the previous problem?