Determine whether the following lines in $\mathbb{R}^2$ represented by the vector equations below intersect, are parallel, or are identical.

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choose one Intersect Parallel Identical 1. $\mathbf{r}(t) = \langle -3 -t,1+2t \rangle$ and $\mathbf{s}(t) = \langle -3 -3t,1+t \rangle$.

choose one Intersect Parallel Identical 2. $\mathbf{r}(t) = \langle 2 -3t,1+2t \rangle$ and $\mathbf{s}(t) = \langle 2 +6t,6-4t \rangle$.

choose one Intersect Parallel Identical 3. $\mathbf{r}(t) = \langle 1-4 t, 2+4t \rangle$ and $\mathbf{s}(t) = \langle -3 -8 t, 6+8t \rangle$.

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Note: You only have two attempts at this problem.

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