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The position vectors of points \(P\) and \(Q\) are \(\vec{p}\) and \(\vec{q}\) respectively. The point \(R\) divides lin…

Q1

The position vectors of points \(P\) and \(Q\) are \(\vec{p}\) and \(\vec{q}\) respectively. The point \(R\) divides line segment \(PQ\) in the ratio \(3:1\) and \(S\) is the mid-point of line segment \(PR\). The position vector of \(S\) is :

a

\(\frac{\vec{\mathrm{p}}+3\vec{\mathrm{q}}}{4}\)

b

\(\frac{\vec{\mathrm{p}}+3\vec{\mathrm{q}}}{8}\)

c

\(\frac{5\vec{p}+3\vec{q}}{4}\)

d

\(\frac{5\vec{\mathrm{p}}+3\vec{\mathrm{q}}}{8}\)

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