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MHT CET20227 Aug 2022Morning ShiftMathematicsVector AlgebraActual

Let a , b , c be distinct non-negative umbers. If the vectors a i +a j +c k , i + k and c i +c j +b k lie in a plane, then c is

Options

  1. Athe arithmetic mean of a and b.
  2. Bthe harmonic mean of a and b .
  3. Cthe geometric mean of a and b .
  4. Dnot arithmetic mean of a and b.

Correct answer

C. the geometric mean of a and b .

Step-by-step solution

aligned & | array lll a & a & c 1 & 0 & 1 c & c & b array |=0 & a b-c^2=0 & c^2=a b aligned The geometric mean of a and b is c

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