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# HELP PLS ASAP!!!

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Consider the line parametrized by

$$x = 2t+1$$

$$y=-3t+2$$

Find a vector $$\begin{pmatrix}a\\b\end{pmatrix}$$ that's parallel to this line and satisfies $$a+b=3$$.

Oct 9, 2019

$$v = \alpha\begin{pmatrix}2\\-3\end{pmatrix},~\alpha \in \mathbb{R}\\ 2\alpha - 3\alpha = 3\\ \alpha = -3\\ v = \begin{pmatrix}-6\\9\end{pmatrix}$$