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AP EAMCET202420 May 2024Morning ShiftMathematicsVector AlgebraActual

a , b , c are non-coplanar vectors. If d = a + b + c , a = b + c + d , then | a + b + c + d |=

Options

  1. A1
  2. B2
  3. C| a - b - c |
  4. D0

Correct answer

D. 0

Step-by-step solution

a + b + c = d [Given] b + c = d - a ....(i) b + c + d = a [Given] b + c = a - d ....(ii) d -a= a - d [From (i) and (ii)] d + d = a + a ( +1) d =( +1) a ....(iii) Since, a , b , c are non-coplanar =-1, =-1 a + b + c + d =0 [From (i)] | a + b + c + d |=0

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