Mathematics

Problem

A vector

\mathbf{A}=5\,\hat i+12\,\hat j\,\text{N}

is added to a vector

\mathbf{B}

of magnitude

13\,\text{N}

making an angle

\theta

with the positive

x

-axis. If the resultant is directed purely along the

x

-axis, the value of

\theta

is a)

67.4^{\circ}

292.6^{\circ}

22.6^{\circ}

247.4^{\circ}