Answer
False
Work Step by Step
Let $v_1=\begin{bmatrix}
1\\0\\0\end{bmatrix},v_2=\begin{bmatrix}
0\\1\\0\end{bmatrix},v_3=\begin{bmatrix}
1\\1\\0\end{bmatrix}$ be the set of three vectors in a vector space $V$
We notice that $v_3=v_1+v_2$, then set of vectors $\{v_1,v_2,v_3\}$ is linearly independent. Vectors $v_1$ and $v_1$ are not proportional also. Hence, we have a set of three vectors in a vector space $V$ is linearly dependent when not all three vectors are proportional to one another.
