If and the magnitudes of

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

Problem

A = B + C

and the magnitudes of

\vec{A}

\vec{B}

and

\vec{C}

are 5, 4 and 3, respectively, then the angle between

\vec{A}

and

\vec{C}

is (A)

\sin^{-1} \left( \frac{3}{5} \right)

(B)

\cos^{-1} \left( \frac{3}{5} \right)

(C)

\cos^{-1}\left(\frac{4}{5}\right)

(D)

\sin^{-1}\left(\frac{4}{5}\right)