Physics

Problem

A force

\vec{F} = \mathbf{i} + 2\mathbf{j} - 2\mathbf{k}\,\text{N}

acts on a body. For which of the following displacement vectors will the work done be zero? a)

2\mathbf{i} + 4\mathbf{j} - 4\mathbf{k}\,\text{m}

4\mathbf{i} - 2\mathbf{j}\,\text{m}

2\mathbf{i} - 4\mathbf{j} - 4\mathbf{k}\,\text{m}

2\mathbf{i} - \mathbf{j} + \mathbf{k}\,\text{m}