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

A

$$\overrightarrow{S}=(1-b)\overrightarrow{P}+b\overrightarrow{Q}$$

B

$$\overrightarrow{S}=(b-1)\overrightarrow{P}+b\overrightarrow{Q}$$

C

$$\overrightarrow{S}=(1-b^{2})\overrightarrow{P}+b\overrightarrow{Q}$$

D

$$\overrightarrow{S}=(1-b)\overrightarrow{P}+b^{2}\overrightarrow{Q}$$