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NEST2022MathematicsVector Algebra

Let P and Q be two nonzero and non-parallel vectors in three dimensional right handed rectangular coordinate system. Consider the set V= P + Q : , R Then

Options

  1. Afor any vector R , R ( P Q ) is an element of V .
  2. Bgiven any element S V , there exists a vector R such that R ( P Q )= S .
  3. Cif S ₁, S ₂ V then S ₁ S ₂ V .
  4. Dfor vectors R ₁ and R ₂ , if R ₁ ( P Q )= R ₂ ( P Q ) , then R ₁= R ₂ .

Correct answer

B. given any element S V , there exists a vector R such that R ( P Q )= S .

Step-by-step solution

No solution available.

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