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In a four-dimensional space where unit vectors along axes are \( \hat{\mathbf{i}}, \hat{\mathbf{j}}, \hat{\mathbf{k}} \) and \( \hat{\mathbf{l}} \) and \( \mathbf{a}_{1}, \mathbf{a}_{2}, \mathbf{a}_{3}, \mathbf{a}_{4} \) are four non-zero vectors such that no vector can be expressed as linear combination of others and
\( (\lambda-1)\left(a_{1}-a_{2}\right)+\mu\left(a_{2}+a_{3}\right)+\gamma\left(a_{3}+a_{4}-2 a_{2}\right) \)
(a) \( \lambda=1 \)
(b) \( \mu=-\frac{2}{3}+a_{3}+\delta a_{4}=0 \), then
(c) \( \lambda=\frac{2}{3} \)
(d) \( \delta=\frac{1}{3} \)
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