Let the vectors $$\overrightarrow{PQ}, \overrightarrow{QR}, \overrightarrow{RS}, \overrightarrow{ST}, \overrightarrow{TU}$$ and $$\overrightarrow{UP}$$ represent the sides of a regular
hexagon.
STATEMENT-1: $$\overrightarrow{PQ}\times \left(\overrightarrow{RS} + \overrightarrow{ST}\right) \neq \overrightarrow{0}.$$
because
STATEMENT-2: $$\overrightarrow{PQ}\times \overrightarrow{RS} = \overrightarrow{0}$$ and $$\overrightarrow{PQ}\times \overrightarrow{ST} \neq \overrightarrow{0}$$