Question

In a triangle $P Q R$, let $\vec{a}=\overrightarrow{Q R}, \vec{b}=\overrightarrow{R P}$ and $\vec{c}=\overrightarrow{P Q}$ If
$|\vec{a}|=3,|\vec{b}|=4$ and $\frac{\vec{a} \cdot(\vec{c}-\vec{b})}{\vec{c} \cdot(\vec{a}-\vec{b})}=\frac{|\vec{a}|}{|\vec{a}|+|\vec{b}|}$ then the value of $|\vec{a} \times \vec{b}|^{2}$ is

Answer 1

$\text{The Value of }$ $|\vec{a} \times \vec{b}|^{2}$ $\text{is}$ $\underline{108}.$