Mathematics

Problem

If the resultant vector is

\vec{R}=5\mathbf{i}-2\mathbf{j}+4\mathbf{k}

and one of its components is

\vec{a}=2\mathbf{i}+3\mathbf{j}-\mathbf{k}

, determine the other vector

\vec{b}

such that

\vec{R}=\vec{a}+\vec{b}