Three vectors $\vec{P}, \vec{Q}$ and $\vec{R}$ are shown in the figure. Let $S$ be any point on the vector $\vec{R}$. The distance between the point $P$ and $S$ is $b|\vec{R}|$. The general relation among vectors $\vec{P}, \vec{Q}$ and $\vec{S}$ is
- A$\vec{S}=(1-b) \vec{P}+b \vec{Q}$
- B$\vec{S}=(b-1) \vec{P}+b \vec{Q}$
- C$\vec{S}=(1-b^2) \vec{P}+b \vec{Q}$
- D$\vec{S}=(1-b) \vec{P}+b^2 \vec{Q}$
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