Mathematics

Problem

Vector

\mathbf{A}=3\mathbf{i}+4\mathbf{j}\,\text{N}

acts on a body. A second vector is

\mathbf{B}=B_x\,\mathbf{i}-4\mathbf{j}\,\text{N}

. If the magnitude of the resultant

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

5\,\text{N}

, calculate the possible value(s) of

B_x