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Question: If O is origin and C is the mid point of \(A(2, - 1)\) and \(B( - 4,3)\). Then value of \(\overset{\...

If O is origin and C is the mid point of A(2,1)A(2, - 1) and B(4,3)B( - 4,3). Then value of OC\overset{\rightarrow}{OC} is

A

i + j

B

ij

C

i + j

D

ij

Answer

i + j

Explanation

Solution

Co-ordinate of C is (242,1+32)=(1,1)\left( \frac{2 - 4}{2},\frac{- 1 + 3}{2} \right) = ( - 1,1)

OC=i+j\therefore\overset{\rightarrow}{OC} = - \mathbf{i} + \mathbf{j}.