Let ABCD is a parallelogram .If L,M be the middle point of BC and CD respectively .If then k is equal to ________ .Correct answer is '1.5'. Can you explain this answer?

Question

Let ABCD is a parallelogram .If L,M be the middle point of BC and CD respectively .If  then k is equal to ________ .Correct answer is '1.5'. Can you explain this answer?

Answer

Let the position vectors of points B and D be respectively B and d referred to A origin of reference .

= position vector of L, the middle point of

= 1/2(position vector of B + position vector of C)

= AM = 1/2(position vector of C + position vector of D)

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