For any three non-zero vectors r1, r2 and r3, \(\left| {\begin{array}{*{20}{c}} {{{\rm{r}}_{\rm{1}}}{\rm{.}}{{\rm{r}}_{\rm{1}}}}&{{{\rm{r}}_{\rm{1}}}{\rm{.}}{{\rm{r}}_{\rm{2}}}}&{{{\rm{r}}_{\rm{1}}}{\rm{.}}{{\rm{r}}_{\rm{3}}}}\\ {{{\rm{r}}_{\rm{2}}}{\rm{.}}{{\rm{r}}_{\rm{1}}}}&{{{\rm{r}}_{\rm{2}}}{\rm{.}}{{\rm{r}}_{\rm{2}}}}&{{{\rm{r}}_{\rm{2}}}{\rm{.}}{{\rm{r}}_{\rm{3}}}}\\ {{{\rm{r}}_{\rm{3}}}{\rm{.}}{{\rm{r}}_{\rm{1}}}}&{{{\rm{r}}_{\rm{3}}}{\rm{.}}{{\rm{r}}_{\rm{2}}}}&{{{\rm{r}}_{\rm{3}}}{\rm{.}}{{\rm{r}}_{\rm{3}}}} \end{array}} \right|\) = 0. Then which of the following is false
1
All the three vectors are parallel to one and the same plane
2
All the three vectors are linearly dependent
3
This system of equation has non-trivial solution
4
All the three vectors are perpendicular to each other