Question 18: Motion in 2D & Vectors

Question

Three vectors $$\overrightarrow{\mathrm{OP}}, \overrightarrow{\mathrm{OQ}}$$ and $$\overrightarrow{\mathrm{OR}}$$ each of magnitude $$\mathrm{A}$$ are acting as shown in figure. The resultant of the three vectors is $$\mathrm{A} \sqrt{x}$$. The value of $$x$$ is _________.

Accepted Answer

$$\begin{aligned}
&\begin{aligned}
& (\vec{P}+\vec{Q})=\sqrt{2} A \
& R=A \
& 	heta=90^{\circ}
\end{aligned}\
&	ext { Resultant }=\sqrt{3} A
\end{aligned}$$

Motion in 2D & Vectors

Three vectors $\overrightarrow{\mathrm{OP}}, \overrightarrow{\mathrm{OQ}} and \overrightarrow{\mathrm{OR}} each of magnitude \mathrm{A} are acting as shown in figure. The resultant of the three vectors is \mathrm{A} \sqrt{x}. The value of x$ is _________.

Choose the correct answer: