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JEE Advanced2007MathematicsVector AlgebraActual

The number of distinct real values of , for which the vectors - ^2 i + j + k , i - ^2 j + k and i + j - ^2 k are coplanar, is

Options

  1. Azero
  2. Bone
  3. Ctwo
  4. Dthree

Correct answer

C. two

Step-by-step solution

aligned & | array ccc - ^2 & 1 & 1 1 & - ^2 & 1 1 & 1 & - ^2 array |=0 ^6-3 ^2-2=0 & (1+ ^2 )^2 ( ^2-2 )=0 = 2 & aligned

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