Problem 1.166

A particle of mass 1.0 g moving with velocity \(\mathbf{v}_ {\mathbf{1}}=3.0 \mathbf{i}-\) \(2.0j \) experiences a perfectly inelastic collision with another particle of mass \(2.0 \mathrm{~g}\) and velocity \(\mathrm{v}_ {2}=4.0 \mathrm{j}-6.0 \mathrm{k}\). Find the velocity of the formed particle (both the vector \(\mathbf{v}\) and its modulus), if the components of the vectors \(\mathrm{v}_ {1}\) and \(\mathrm{v}_{2}\) are given in the SI units.