Physics

Problem

A displacement vector in the

x

–

y

plane is given by

\mathbf{D}=6\,\mathbf{\hat{i}}-8\,\mathbf{\hat{j}}

(all quantities in SI units). a. (i) Calculate the magnitude of

\mathbf{D}

. b. (ii) Find the unit vector

\mathbf{\hat{d}}

along

\mathbf{D}

. c. (iii) Determine the unit vector

\mathbf{\hat{d}}'

that points in the direction opposite to

\mathbf{D}