If the vectors \(\rm \vec{a}=2\hat{i}-3\hat{j}+\hat{k}, \vec{b}=\hat{i}+2\hat{j}-3\hat{k}\) and \(\rm \vec{c}=\hat{j}+p \hat{k}\) are coplanar, then what is the value of p?

1
1
2
-1
3
5
4
-5

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