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If \(\overrightarrow{\mathrm{u}}, \overrightarrow{\mathrm{v}}, \overrightarrow{\mathrm{w}}\) are non-coplanar vectors and \(\mathrm{p}, \mathrm{q}\) are real numbers, then the equality \([3 \vec{u} p \vec{v} p \vec{w}]-[p \vec{v} \vec{w} q \vec{u}]-[2 \vec{w} q \vec{v} q \vec{u}]=0\) holds for :-

  • (1) More than two but not all values of (p,q)
  • (2) All values of (p, q)
  • (3) Exactly one value of (p, q)
  • (4) Exactly two values of (p, q) 
from [AIEEE-2009]
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Correct option is 3) exactly one value of (p,q)

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