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.