A force \(\overrightarrow{\mathrm{F}}=2 \hat{\mathrm{i}}+\mathrm{b} \hat{\mathrm{j}}+\hat{\mathrm{k}}\) is applied on a particle and it undergoes a displacement \(\hat{\mathrm{i}}-2 \hat{\mathrm{j}}-\hat{\mathrm{k}} \). What will be the value of b, if work done on the particle is zero.
1
0
2
\(\frac{1}{2}\)
3
\(\frac{1}{3}\)
4
2