Vector Algebra

Let the vector \(\overrightarrow {PQ} ,\overrightarrow {QR} ,\overrightarrow {RS} ,\overrightarrow {ST} ,\overrightarrow {TU}\) and \(\overrightarrow {UP}\), represent the sides of a regular hexagon.

Statement 1 : \(\overrightarrow {PQ} \times \left( {\overrightarrow {RS} + \overrightarrow {ST} } \right) \ne \overrightarrow 0\)

Statement 2 : \(\overrightarrow {PQ} \times \overrightarrow {RS} = \overrightarrow 0\) and \(\overrightarrow {PQ} \times \overrightarrow {ST} \ne \overrightarrow 0\)