Let \(\vec{a}=2\hat{i}+7\hat{j}-\hat{k},\vec{b}=3\hat{i}+5\hat{k}\) and \(\vec{c}=\hat{i}-\hat{j}+2\hat{k}.\) Let \(\vec{d}\)be a vector which is perpendicular to both \(\vec{a}\) and \(\vec{b},\) and \(\vec{c}.\vec{d}=12.\) Then \((-\hat{i}+\hat{j}-\hat{k}).(\vec{c}\times \vec{d})\) is equal to
(1) 48
(2) 42
(3) 44
(4) 24
