Fundamental Theorem in 2D

Q. Any vector $\overrightarrow{r}$ in the plane of two non-zero, non collinear vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ can be expressed uniquely as a linear combination $x\overrightarrow{a}+y\overrightarrow{b}$ of $\overrightarrow{a}and\overrightarrow{b},$ where $x\overrightarrow{a}andy\overrightarrow{b}$ are the components of vector $\overrightarrow{r}$

1. True
2. False