How can I prove that:

$\begin{array}{}\text{(1)}& 0<{r}^{2}<({r}^{2}+(wl{)}^{2})((1-{w}^{2}lc{)}^{2}+(wrc{)}^{2})\end{array}$

$\mathrm{\forall}c>0$ and all the other variables are bigger than zero using the scalar product of the vectors $A=(r,wl)$ and $B=(1-{w}^{2}lc,wrc)$?

I do not know how to get started on this problem and I do not see how I can use the scalar product of vectors to prove this inequality.

$\begin{array}{}\text{(1)}& 0<{r}^{2}<({r}^{2}+(wl{)}^{2})((1-{w}^{2}lc{)}^{2}+(wrc{)}^{2})\end{array}$

$\mathrm{\forall}c>0$ and all the other variables are bigger than zero using the scalar product of the vectors $A=(r,wl)$ and $B=(1-{w}^{2}lc,wrc)$?

I do not know how to get started on this problem and I do not see how I can use the scalar product of vectors to prove this inequality.