The vector CA is 2b , The vector DC is b-a , The vector CB is -(a+b).
What is a parallelogram ?
A parallelogram is a polygon with four sides and opposite sides parallel.
It is given that
The diagonals of the parallelogram intersect at O , DO=a CO=b
The vector CA is equal to = vector CO + vector OA = b+b = 2b
as CO ≅ OA.
DO =a , OD = -a
BO = -a , OC = -b
The vector DC = vector CO + vector OD = b-a
The vector CB = vector BO + vector OC = -a -b = -(a+b).
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