Given and , the magnitude of their resultant is . Determine the value(s) of…

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Given

\mathbf{A}=2\mathbf{i}+3\mathbf{j}\,\text{m}

and

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

, the magnitude of their resultant

\mathbf{R}=\mathbf{A}+\mathbf{B}

5\,\text{m}

. Determine the value(s) of

k