A force acts on a body

PHYSICS · Single correct · AP · Physics C: Mechanics · Work Energy and Power · Work Energy and Power

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}

(b)

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

(c)

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

(d)

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