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Question: Answered & Verified by Expert

Three vectors P, Q and R are shown in the figure. Let, S be any point on the vector R . The distance between the points P and S is bR. The general relation among vectors P, Q and S are

PhysicsMotion In Two DimensionsJEE AdvancedJEE Advanced 2017 (Paper 2)
Options:
  • A S=1-b P+b2Q
  • B S=B-1P+bQ
  • C S=1-bP+bQ
  • D S=1-b2P+bQ
Solution:
1674 Upvotes Verified Answer
The correct answer is: S=1-bP+bQ

Let, vector from point P to point S be C

 C=bR R^=bR RR=bR=bQ- P

From triangle rule of vector addition, 

P+ C= S

P+bQ- P= S

 S=1-bP+bQ

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