5 Vectors, \(\mathbf { a } , \mathbf { b }\) and \(\mathbf { c }\), are given by \(\mathbf { a } = \mathbf { i } + ( 1 - p ) \mathbf { j } + ( p + 2 ) \mathbf { k } , \mathbf { b } = 2 \mathbf { i } + \mathbf { j } + \mathbf { k }\) and \(\mathbf { c } = \mathbf { i } + 14 \mathbf { j } + ( p - 3 ) \mathbf { k }\) where \(p\) is a constant. You are given that \(\mathbf { a } \times \mathbf { b }\) is perpendicular to \(\mathbf { c }\). Determine the possible values of \(p\).