Let \(\rm \vec{a} = -5\hat{i} + \hat{j} -3\hat{k}, \rm \vec{b} = \hat{i} + 2\hat{j} -4\hat{k}\) and \(\rm \vec{c}=\left(\left(\left(\vec{a}\times \vec{b}\right)\times \hat {i}\right)\times \hat {i}\right)\times \hat i\). Then \(\rm \vec{c} \cdot \left(-\hat{i} + \hat{j} +\hat{k}\right)\) is equal to

1
-12
2
-10
3
-13
4
-15

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