Vector Algebra

If \(\mathbf{a}\) and \(\mathbf{b}\) are two vectors such that \(|\mathbf{a}|=2, |\mathbf{b}|=3\) and \(\mathbf{a}+t \mathbf{b}\) and \(\mathbf{a}-t \mathbf{b}\) are perpendicular, where \(t\) is a positive scalar, then