If the vectors \(\rm \vec{a}, \vec{b}\) are collinear and \(\rm \vec{a} = 2\hat{i} +6\hat{j} - 3\hat{k}\) and |b| = 14, then \(\rm \vec{b}\) is equal to?

1
\(\rm 4\hat{i}-12\hat{j} + 6\hat{k}\)
2
\(\rm 4\hat{i} +12\hat{j} - 6\hat{k}\)
3
\(\rm 6\hat{i} +18\hat{j} - 9\hat{k}\)
4
None of the above

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