Let's consider the following vectors:

$r_1=-2b{E}_x+a{E}_y,r_2=b{E}_y-2a{E}_x$

Find

$($a$)r_1+r_2$

$($b$)r_1*r_2$

$($c$)r_2{r}_1$

$($d$)r_1*(r_2{r}_1)$

$($e$)$ a vector perpendicular to $r_1+r_2$

$(f)$ the unit vector along $r_1$

$($g$)r_1*E_y$

$($h$)r_2*E_x$

$($i$)r_2{E}_x$

$($j$)E_y{r}_1$

$($k$)(E_z{r}_2)*E_y$

$($l$)(E_y(r_1-r_2))*E_x$