CBSE Class 11-science Answered
OA, OB and OC represent in magnitude and direction three vectors P, Q and R. If P + Q = 2R, prove that C is the midpoint of AB.
Asked by shamparana.rana1 | 09 Sep, 2019, 07:16: PM
Expert Answer
Let position vectors of A, B, C are P, Q, R as shown in figure .
vector AC = R - P .....................(1)
vector CB = Q - R ......................(2)
It is given that , P + Q = 2R ..........(3)
Eqn. (3) can be written as, Q - R = R - P ......................(4)
Hence from eqn.(4), eqn.(1) and eqn.(2), we get vector AC = vector CB
Since A, B and C are colinear points, then we get C is mid point of AB
Answered by Thiyagarajan K | 09 Sep, 2019, 09:48: PM
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