Vector Algebra

If \(3 \hat{j}, 4 \hat{k}\) and \(3 \hat{j}+4 \hat{k}\) are the position vectors of the vertices \(A, B, C\) respectively of \(\triangle A B C\), then the position vector of the point in which the bisector of \(\angle \mathrm{A}\) meets \(\mathrm{BC}\) is