question_answer

Let \[\overset{\to }{\mathop{\alpha }}\,=(\lambda -2)\,\overset{\to }{\mathop{a}}\,+\overset{\to }{\mathop{b}}\,\] and \[\overset{\to }{\mathop{\beta }}\,=(4\lambda -2)\,\overset{\to }{\mathop{a}}\,+3\overset{\to }{\mathop{b}}\,\]be two given vectors where vectors \[\overset{\to }{\mathop{a}}\,\] and \[\overset{\to }{\mathop{b}}\,\] are non-collinear. The value of \[\left| \lambda  \right|\] for which vectors \[\overset{\to }{\mathop{\alpha }}\,\] and \[\overset{\to }{\mathop{\beta }}\,\] are collinear, is

Answer:

4