# Thread: vector equation

1. ## vector equation

find the vector equation for the line passing through point (5, -1) and perpendicular to the vector i+j.

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2. Originally Posted by overduex
find the vector equation for the line passing through point (5, -1) and perpendicular to the vector i+j.
You need a line though (5,-1) with direction vector <1,-1>.

3. Originally Posted by Plato
You need a line though (5,-1) with direction vector <1,-1>.
I understand that. but what is the vector equation form. In other words, I want to know how to put it in vector equation form. What is vector equation form?

Sorry, this is probably a simple task, but unfortunately my teacher does not teach.

4. $\left\langle {5, - 1} \right\rangle + t\left\langle {1, - 1} \right\rangle = \left\langle {5 + t, - 1 - t} \right\rangle = \left\{ \begin{gathered}
x = 5 + t \hfill \\
y = - 1 - t \hfill \\
\end{gathered} \right.
$