A vector is added to a vector of magnitude making an angle with the positive -axis

MATHEMATICS · Single correct · A Level · Mathematics · Vectors · Vectors

Problem

A vector

\mathbf{A}=5\,\hat\imath+12\,\hat\jmath\,\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}

(b)

292.6^{\circ}

(c)

22.6^{\circ}

(d)

247.4^{\circ}