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

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

[JEE Main 2025, 22 Jan (Shift 2)]