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99 Percentile Qs Bank for JEE MainMathematicsVector Algebra

If a , b and c are non-coplanar vectors and if d is such that d = 1 x ( a + b + c ) and d = 1 y ( b + c + d ) where x and y are non-zero real numbers, then 1 x y ( a + b + c + d ) equals to

Options

  1. A3 c
  2. B-a
  3. C0
  4. D2a

Correct answer

C. 0

Step-by-step solution

Given, d = 1 x ( a + b + c ) aligned & and d = 1 y ( b + c + d ) & a + b + c - xd =0 & and b + c + d - yd =0 & a + b + c + d =0 & 1 x y ( a + b + c + d )= 1 x y (0)=0 aligned

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