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 \[ \vec{c}\cdot(\vec{a}\times\vec{b}) + 25 = 0,\qquad \vec{c}\cdot(\hat{i}+\hat{j}+\hat{k}) = 4, \] and the projection of \(\vec{c}\) on \(\vec{a}\) is \(1\), then the projection of \(\vec{c}\) on \(\vec{b}\) equals: