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