8. Let V be the volume of the parallelepiped formed by the vectors
$$\begin{aligned} & \vec { a } = a _ { 1 } \hat { \imath } + a _ { 2 } \hat { \jmath } + a _ { 3 } \hat { k } \\ & \vec { b } = b _ { 1 } \hat { \imath } + b _ { 2 } \hat { \jmath } + b _ { 3 } \hat { k } \\ & \vec { c } = c _ { 1 } \hat { \imath } + c _ { 2 } \hat { \jmath } + c _ { 3 } \hat { k } \end{aligned}$$
$r$, bsi,fą, where $\mathrm { r } = 1,2,3$ are non-negative real numbers and $\sum \mathrm { r } = 13 ( \mathrm { ar } + \mathrm { br } + \mathrm { cr } ) = 3 \mathrm {~L}$. Show that $\mathrm { V } < \mathrm { L } ^ { 3 }$.