If A=(2,3,-1) and B= (1_ 1 ,-1_ 1 , 2 ) . A point C on the y^ - axis, such that AB ⊥ BC…

Mathematics · JEE Main · NTA ExamsVector Algebra

If \(A=(2,3,-1)\) and \(B=\left(1_{1},-1_{1}, 2\right)\). A point C on the \(y^{-}\)axis, such that AB ⊥ BC, has the co-ordinates
  1. \(\left(-\frac{9}{4}, 0, \frac{-9}{4}\right)\)
  2. \(\left(0, \frac{-4}{9}, 0\right)\)
  3. \(\left(0, \frac{-9}{4}, 0\right)\)
  4. \(\left(0, \frac{9}{4}, 0\right)\)

Answer

(C) (0, -9 4 , 0 )

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