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AP EAMCET202124 Aug 2021Evening ShiftMathematicsVector AlgebraActual

A B C D E F is a regular hexagon. The sum of the vectors B E , B C , E F , B A , C F , A F

Options

  1. ABF
  2. B2BF
  3. CFB
  4. D3BF

Correct answer

D. 3BF

Step-by-step solution

Given, A B C D E F is a regular hexagon B E + B C + E F + B A + C F + A B aligned =O E-O B & +O C-O B+O F-O E & +O A-O B+O F-O C+O F-O A aligned =3 OF -3 OB =3( OF - OB )=3 BF

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