The displacement of a particle moving under the action of a force \(\vec{\mathrm{F}}=2\overset{^}{\mathrm{i}}+\mathrm{b}\overset{^}{\mathrm{j}}+\overset{^}{\mathrm{k}}\) is \(\vec{\mathrm{d}}=\overset{^}{\mathrm{i}}+\overset{^}{\mathrm{j}}+\overset{^}{\mathrm{k}}\). Find the value of \(b\) if the work done by the force is zero.

(Shift II Memory Based)

Question

The displacement of a particle moving under the action of a force \(\vec{\mathrm{F}}=2\overset{^}{\mathrm{i}}+\mathrm{b}\overset{^}{\mathrm{j}}+\overset{^}{\mathrm{k}}\) is \(\vec{\mathrm{d}}=\overset{^}{\mathrm{i}}+\overset{^}{\mathrm{j}}+\overset{^}{\mathrm{k}}\). Find the value of \(b\) if the work done by the force is zero.

(Shift II Memory Based)

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