JEE (Advanced) 2017 Paper-2 Question 5

Question 5

Three vectors $$\overrightarrow{P},\overrightarrow{Q}$$ and $$\overrightarrow{R}$$ are shown in the figure. Let be any point on the vector $$\overrightarrow{R}$$. The distance between the points $$P$$ and $$S$$ is $$b\mid\overrightarrow{R}\mid$$. The general relation among vectors $$\overrightarrow{P},\overrightarrow{Q}$$ and $$\overrightarrow{S}$$ is

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