Question Number 75925 by benjo last updated on 21/Dec/19
$$\mathrm{Let}\:\overset{\rightarrow} {{OA}}=\:\boldsymbol{\mathrm{i}}+\mathrm{3}\boldsymbol{\mathrm{j}}−\mathrm{2}\boldsymbol{\mathrm{k}}\:\mathrm{and}\:\overset{\rightarrow} {{OB}}=\mathrm{3}\boldsymbol{\mathrm{i}}+\boldsymbol{\mathrm{j}}−\mathrm{2}\boldsymbol{\mathrm{k}}. \\ $$$$\mathrm{The}\:\mathrm{vector}\:\overset{\rightarrow} {{OC}}\:\mathrm{bisecting}\:\mathrm{the}\:\angle{AOB}\:\mathrm{and} \\ $$$${C}\:\:\mathrm{being}\:\mathrm{a}\:\mathrm{point}\:\mathrm{on}\:\mathrm{the}\:\mathrm{line}\:{AB}\:\mathrm{is} \\ $$