Physics

Problem

A constant force

\vec{F}=7\mathbf{i}-3\mathbf{j}+4\mathbf{k}

newtons acts on a body that undergoes a displacement

\vec{d}=3\mathbf{i}+6\mathbf{j}-2\mathbf{k}

metres. Answer the following questions. a. (i) Calculate the work done by the force during the displacement. b. (ii) Determine the acute angle between

\vec{F}

and

\vec{d}

, correct to two decimal places. c. (iii) Find the magnitude of the component of

\vec{F}

along the direction of

\vec{d}

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