Let \( a=\hat{i}+\hat{j}, b=\hat{j}+\hat{k} \) and \( c=\alpha a+\beta b \). If the vectors, \( ...

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Let \( a=\hat{i}+\hat{j}, b=\hat{j}+\hat{k} \) and \( c=\alpha a+\beta b \). If the vectors, \( \hat{i}-2 \hat{j}+\hat{k}, 3 \hat{i}+2 \hat{j}-\hat{k} \) and \( c \) are coplanar, then is equal to
(a) 1
(b) 2
(c) 3
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