Consider three vectors $\overline{P}$ = 3.5ĵ + 2.6k̂, $\overline{Q}$ = 7.2ĵ + 5.1k̂ and $\overline{R}$ lying in the yz plane. Determine $\overline{R}$ such that it has dot products of 12.4 and 14.6 with $\overline{P}$, $\overline{Q}$ respectively.