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JEE Math Practice Question

The magnitude of the projection of the vector $$\mathop {2i}\limits^ \wedge + \mathop {3j}\limits^ \wedge + \mathop k\limits^ \wedge $$ on the vector perpendicular to the plane containing the vectors $$\mathop {i}\limits^ \wedge + \mathop {j}\limits^ \wedge + \mathop k\limits^ \wedge $$ and $$\mathop {i}\limits^ \wedge + \mathop {2j}\limits^ \wedge + \mathop {3k}\limits^ \wedge $$ , is :

  1. A.$${{\sqrt 3 } \over 2}$$
  2. B.$$\sqrt 6 $$
  3. C.$$\sqrt {3 \over 2} $$
  4. D.3$$\sqrt 6 $$

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