JEE Main 202315 Apr, Morning shiftMathematicsMediumVector Algebra184× since 2002Let ABCD\mathrm{ABCD}ABCD be a quadrilateral. If E\mathrm{E}E and F\mathrm{F}F are the mid points of the diagonals AC\mathrm{AC}AC and BD\mathrm{BD}BD respectively and (AB→−BC→)+(AD→−DC→)=kFE→(\overrightarrow{A B}-\overrightarrow{B C})+(\overrightarrow{A D}-\overrightarrow{D C})=k \overrightarrow{F E}(AB−BC)+(AD−DC)=kFE, then kkk is equal to :AOption A. -2BOption B. 4COption C. -4DOption D. 2CheckSkip · show solution