JEE Main 2009Annual, Paper 1MathematicsMediumVector Algebra184× since 2002If u→,v→,w→\overrightarrow u ,\overrightarrow v ,\overrightarrow wu,v,w are non-coplanar vectors and p,qp,qp,q are real numbers, then the equality [3u→ pv→ pw→]−[pv→ w→ qu→]−[2w→ qv→ qu→]=0\left[ {3\overrightarrow u \,\,p\overrightarrow v \,\,p\overrightarrow w } \right] - \left[ {p\overrightarrow v \,\,\overrightarrow w \,\,q\overrightarrow u } \right] - \left[ {2\overrightarrow w \,\,q\overrightarrow v \,\,q\overrightarrow u } \right] = 0[3upvpw]−[pvwqu]−[2wqvqu]=0 holds for :AOption A. exactly two values of (p,q)(p,q)(p,q)BOption B. more than two but not all values of (p,q)(p,q)(p,q)COption C. all values of (p,q)(p,q)(p,q)DOption D. exactly one value of (p,q)(p,q)(p,q)CheckSkip · show solution
