Mathematics

Problem

Let

\vec{\alpha} = (\lambda - 2)\vec{a} + \vec{b}

and

\vec{\beta} = (4\lambda - 2)\vec{a} + 3\vec{b}

be two given vectors where vectors

\vec{a}

and

\vec{b}

are non-collinear. The value of

\lambda

for which vectors

\vec{\alpha}

and

\vec{\beta}

are collinear, is : [JEE-MAIN ONLINE-2019]