Vector Algebra

Let \(u=2 \hat{\mathbf{i}}+\hat{\mathbf{j}}\) and \(v=3 \hat{\mathbf{i}}-5 \hat{\mathbf{j}}\). Consider three points \(P, Q\) and \(R\) having the position vectors \(\left(\frac{5}{2}\right) \hat{\mathbf{i}}-2 \hat{\mathbf{j}} ;\left(\frac{7}{3}\right) \hat{\mathbf{i}}-\hat{\mathbf{j}}\) and \(\left(\frac{9}{4}\right) \hat{\mathbf{i}}\) respectively.
Among these, the points in the line passing through \(u\) and \(v\) are