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Vector Algebra question

2023 · 15 Apr · Shift 1 · Q27
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  5. /2023 · 15 Apr · Shift 1 · Q27

Vector Algebra question

2023 · 15 Apr · Shift 1 · Q27

JEE MainMathematicsVector AlgebraMCQ+4 / −1
Let 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 :
  1. A
    -2
  2. B
    4
  3. C
    -4
  4. D
    2
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