Let \(\vec{a}=4\hat{i}+3\hat{j}\) and \(\vec{b}=3\hat{i}-4\hat{j}+5\hat{k}\) and \(\vec{c}\)is a vector such that \(\vec{c}.(\vec{a}\times\vec{b})+25=0,\) \(\vec{c}.(\hat{i}+\hat{j}+\hat{k})\) = 4 and projection of \(\vec{c}\) on \(\vec{a}\) is 1, then the projection of \(\vec{c}\) on \(\vec{b}\)equals
(1) 5/√2
(2) 1/5
(3) 1/√2
(4) 3/√2
