A displacement vector in the – plane is given by (all quantities in SI units).

PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane

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). (i) Calculate the magnitude of

\mathbf{D}

. (ii) Find the unit vector

\mathbf{\hat{d}}

along

\mathbf{D}

. (iii) Determine the unit vector

\mathbf{\hat{d}}'

that points in the direction opposite to

\mathbf{D}