Let the vectors , , ,

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let the vectors

\boldsymbol{PQ}

\boldsymbol{OR}

\boldsymbol{RS}

\boldsymbol{ST}

\boldsymbol{TU}

and

\boldsymbol{UP}

represent the sides of a regular hexagon. Statement I

\boldsymbol{PQ} \times (\boldsymbol{RS} + \boldsymbol{ST}) \neq 0

Statement II

\boldsymbol{PQ} \times \boldsymbol{RS} = 0

and

\boldsymbol{PQ} \times \boldsymbol{ST} \neq 0