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JEE MAIN - Physics (2024 - 8th April Morning Shift - No. 23)

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 _________.

JEE Main 2024 (Online) 8th April Morning Shift Physics - Vector Algebra Question 4 English

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

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