Two vectors and act at a point making an angle of

MATHEMATICS · Multi-part · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Two vectors

\mathbf{F}_1

and

\mathbf{F}_2

act at a point making an angle of

100^{\circ}

. The magnitude of

\mathbf{F}_1

12\,\text{N}

and their resultant has magnitude

18\,\text{N}

. (i) Find the magnitude of

\mathbf{F}_2

. (ii) Determine the angle that the resultant makes with

\mathbf{F}_1