Problem $3.$ Write a function called vector$\_$algebra that takes three vectors of the same length as an input arguments $($the function does not have to check the format of the input$)$ and returns one row vector as output. If it is called like this XO$13,$ a $=$ vector$\_$algebra $($x$,$y$,$z$),$ then a $=$ x$.^2+$ y$.*$z $.$ However, this function must not use any array operations. It must instead use a for$-$loop.