Q5 of 26 Page 1

The two vectors and represent the two sides AB and AC, respectively of a Find the length of the median through A.

Given: AB and AC of a ΔABC are represented by two vectors respectively


Let AD is the median of ΔABC


To find: Length of median through A, i.e. AD



Using triangle law of vector addition in ΔABC:






AD is median


Therefore,




Using triangle law of vector addition in ΔABD:






∴ Length of median AD






Hence, the length of the median AD is


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