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Question: Answered & Verified by Expert
Let PQRS be a quadrilateral. If M and N are midpoints of the sides PQ and RS respectively then PS → + QR → =
MathematicsVector AlgebraMHT CETMHT CET 2017
Options:
  • A 3  MN →
  • B 4  MN →
  • C 2  MN →
  • D 5  MN →
Solution:
1745 Upvotes Verified Answer
The correct answer is: 2  MN →
m¯=p¯+q¯2
n¯=r¯+s¯2
PS ¯ + QR ¯ =( S ¯ − p ¯ )+( r ¯ − q ¯ )
=r¯+s¯-(p¯+q¯)
=2n¯-2m¯
=2(n¯-m¯)
=2MN¯

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