A vector is added to a vector such that the resultant is along the positive -axis

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

A vector

\mathbf{P}=7\,\hat\imath-24\,\hat\jmath\,\text{N}

is added to a vector

\mathbf{Q}

such that the resultant is

25\,\text{N}

along the positive

y

-axis. The magnitude of

\mathbf{Q}

(to one decimal place) is (a)

56.0\,\text{N}

(b)

50.0\,\text{N}

(c)

49.5\,\text{N}

(d)

49.0\,\text{N}