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Consider the line parametrized by $\begin{align*} x&= 2t + 1,\\ y& = -3t +2. \end{align*}$

 

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

 Jul 27, 2020
edited by FearlessIsland3  Jul 27, 2020
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The vector is [-6/5, 1/5].

 Jul 28, 2020

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