Let $\overline{\mathrm{\alpha }}=(\mathrm{\lambda }-2)\overrightarrow{\mathrm{a}}+\overline{\mathrm{b}}$ and $\overline{\mathrm{\beta }}=(4\mathrm{\lambda }-2)\overrightarrow{\mathrm{a}}+3\overline{\mathrm{b}}$ be two given vectors $\overrightarrow{\mathrm{a}}$ and $\overrightarrow{\mathrm{b}}$
are non- colliner The value of $\mathrm{\lambda }$ for which vectors $\overrightarrow{\mathrm{\alpha }}$ and $\overrightarrow{\mathrm{\beta }}$ are collinear, is :