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Three vectors \( \vec{P}, \vec{Q} \) and \( \vec{R} \) are shown in the figure. Let \( \mathrm{S} \) be any point on the vector \( \vec{R} \). The distance bvetween the
\( \mathrm{P} \) - point \( \mathrm{P} \) and \( \mathrm{S} \) is \( \mathrm{b}|\overrightarrow{\mathrm{R}}| \). The general relation among vectors

W \( \overrightarrow{\mathrm{P}}, \overrightarrow{\mathrm{Q}} \) and \( \overrightarrow{\mathrm{S}} \) is:
[JEE Advanced-2017]
a) \( \overrightarrow{\mathrm{S}}=(\mathrm{b}-1) \overrightarrow{\mathrm{P}}+\mathrm{b} \overrightarrow{\mathrm{Q}} \)
(b) \( \overrightarrow{\mathrm{S}}=\left(1-\mathrm{b}^{2}\right) \overrightarrow{\mathrm{P}}+\mathrm{b} \overrightarrow{\mathrm{Q}} \)
c) \( \overrightarrow{\mathrm{S}}=(1-\mathrm{b}) \overrightarrow{\mathrm{P}}+\mathrm{b}^{2} \overrightarrow{\mathrm{Q}} \)
(d) \( \overrightarrow{\mathrm{S}}=(1-\mathrm{b}) \overrightarrow{\mathrm{P}}+\mathrm{b} \overrightarrow{\mathrm{Q}} \)
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