If OACB is a parallelogram with vector (OC) = vector a and vector (AB) = vector b, then vector (OA)=

Question

If OACB is a parallelogram with  \(\vec{OC}=\vec a\)  and  \(\vec{AB}=\vec b\), then  \(\vec{OA}=\)

A. \((\vec a+\vec b)\)

B. \((\vec a-\vec b)\)

C. \(\cfrac12(\vec b-\vec a)\)

D. \(\cfrac12(\vec a-\vec b)\)

Answer 1

Correct option is  D. \(\cfrac12(\vec a-\vec b)\)