A force \(\vec{\mathrm{F}}=2\overset{^}{i}+\mathrm{b}\overset{^}{j}+\overset{^}{k}\) is applied on a particle and it und…

A force \(\vec{\mathrm{F}}=2\overset{^}{i}+\mathrm{b}\overset{^}{j}+\overset{^}{k}\) is applied on a particle and it undergoes a displacement \(\overset{^}{i}-2\overset{^}{j}-\overset{^}{k}\). What will be the value of \(b\), if work done on the particle is zero.