Vector Algebra

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