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NEST2019MathematicsVector Algebra

Let a and b be two given vectors in R ^3 and a 0 . Consider the equation a r = b Then

Options

  1. Aa b =0 implies that (*) has finitely many solutions for r
  2. B(*) has a solution for r implies a b =0
  3. Ca b =0 implies that (*) has infinitely many solutions for r
  4. Da b =0 implies that (*) has a unique solution for r

Correct answer

C. a b =0 implies that (*) has infinitely many solutions for r

Step-by-step solution

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