OABC is a parallelogram. If OA = a and OC = c, find the vector equation of the side BC.
Answers
Given,
OABC is a parallelogram.
OA = a
OC = c
By Parallelogram law of vectors which states, If two vectors are represented by the adjacent sides of a parallelogram both in magnitude and direction. Their resultant both in magnitude and direction is represented by their diagonal.
So,
Therefore,
Now,
From Triangle law, If two vectors form sides of a triangle taken in order , then their resultant is represented by the closing side taken in the reverse order.
By this,
Therefore, BC is represented by - a
Vector equation of BC = - OA or, BC = OC - OB = OC - ( OA + OC ).
The same can be calculated by the fact that, Length of opposite sides in a parallelogram are same.
BC = AO
BC = - OA
BC = - a.
Answer:
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