A force (in N) acts on a particle that moves in the direction of the vector

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

Problem

A force

\vec{F}=5\mathbf{i}+12\mathbf{j}

(in N) acts on a particle that moves in the direction of the vector

\mathbf{d}=3\mathbf{i}+4\mathbf{j}

. Calculate the magnitude of the component of

\vec{F}

along the direction of motion. (a)

13\,\text{N}

(b)

12.6\,\text{N}

(c)

4.85\,\text{N}

(d)

11.2\,\text{N}