ID: Class: 12 Subject: Math Topic: Vector Algebra Type: Mcq Year: 2024

Question:

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. \(\frac{\vec{p}+3\vec{q}}{4}\)
  • B. \(\frac{\vec{p}+3\vec{q}}{8}\)
  • C. \(\frac{5\vec{p}+3\vec{q}}{4}\)
  • D. \(\frac{5\vec{p}+3\vec{q}}{8}\)