If the vector product of a constant vector A with a variable vector in a fixed plane OAB…

Mathematics · JEE Advanced · NTA ExamsThree Dimensional Geometry

If the vector product of a constant vector \(\text { A }\) with a variable vector \(\vec{\theta}\) in a fixed plane OAB be a constant vector, then locus of B is :
  1. a straight line perpendicular to \(\text { A }\)
  2. a circle with centre O radius equal to
  3. a straight line parallel to \(\text { A }\)
  4. none of these

Answer

(C) a straight line parallel to A

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