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NEST2023MathematicsVector Algebra

Let a and b be non-zero vectors. Let S be the set of vectors v such that a v = b . Then

Options

  1. Athere exists a positive real number r such that | v | r for all v S .
  2. BS is non-empty if and only if a b =0 .
  3. CS is contained in a plane.
  4. Dif v ₁ and v ₂ are in S , then there exists R such that v ₁- v ₂= .

Correct answer

D. if v ₁ and v ₂ are in S , then there exists R such that v ₁- v ₂= .

Step-by-step solution

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