Let \( \vec{a} = 4\hat{i} + 3\hat{j} \) and \( \vec{b} = 3\hat{i} - 4\hat{j} + 5\hat{k} \). If \( \vec{c} \) is a vector such that \( \vec{c} \cdot (\vec{a} \times \vec{b}) + 25 = 0 \), \( \vec{c} \cdot (\hat{i} + \hat{j} + \hat{k}) = 4 \), and projection of \( \vec{c} \) on \( \vec{a} \) is \( 1 \), then the projection of \( \vec{c} \) on \( \vec{b} \) equals:
