Question

Two forces $\overrightarrow{F_1}=(2\hat{i}+2\hat{j})N$ and $\overrightarrow{F_2}=(3\hat{j}+4\hat{k})N$ are acting on a particle. The component of force $\overrightarrow{F_1}$ along force $\overrightarrow{F_2}$ is

• A. $\frac{5}{6}$
• B. $\frac{5}{3}$
• C. $\frac{6}{5}$
• D. $\frac{5}{2}$

Answer 1

The correct option is C $\frac{6}{5}$

Magnitude of component of $\overrightarrow{F_1}$ along $\overrightarrow{F_2}$ can be given by
$|\overrightarrow{F_1}|\cos \theta =\frac{\overrightarrow{F_1}.\overrightarrow{F_2}}{|\overrightarrow{F_2}|}=\frac{6}{5}$
Magnitude of component of $\overrightarrow{F_1}$ along $\overrightarrow{F_2}=\frac{6}{5}$