Which of the following is/are FALSE?

If $\overline{a},\overline{b},\overline{c},\overline{d}$   are four coplanar vectors then   $\left(\overline{a}\times \overline{b}\right)\times \left(\overline{c}\times \overline{d}\right)=\overline{0}$

If $\overline{a}.\overline{c}=0$  then $\overline{a}\times \left(\overline{b}\times \overline{c}\right),\left(\overline{a}\times \overline{b}\right)\times \overline{c}$  are perpendicular

If   $\overline{a},\overline{b},\overline{c}$ are three non-coplanar vectors then $\left(\overline{a}\times \overline{b}\right)+\left(\overline{b}\times \overline{c}\right)+\left(\overline{c}\times \overline{a}\right)$ and $\overline{a}+\overline{b}+\overline{c}$ are perpendicular

Let $\overline{a},\overline{b},\overline{c}$ are  three non-coplanar vectors and $\overline{r}.\overline{a}=\overline{r}.\overline{b}=\overline{r}.\overline{c}=0$   then  $\overline{r}=\overline{0}.$