Let \( \vec{a} = -5\hat{i} + \hat{j} - 3\hat{k} \), \( \vec{b} = \hat{i} + 2\hat{j} - 4\hat{k} \) and \( \vec{x} = (((\vec{a} \times \vec{b}) \times \hat{i}) \times \hat{i}) \). Then \( \vec{c} \cdot (-\hat{i} + \hat{j} + \hat{k}) \) is equal to:
\( -15 \)
\( -12 \)
\( -13 \)
\( -10 \)
