(adsbygoogle = window.adsbygoogle || []).push({}); Determining A Vector Equation — What Am I Doing Wrong??

First day and already I'm screwing up?

Problem is the method the proff used in class is not the same as the one used in the solution manual... and the textbook simply doesn't go over this information, which is very odd; it's an out of the blue question about something not covered in the chapter; all it covers is how to determine a vector equation from a line that passes through point x with direction vector y, or with a certain slope, but not how to do this... so basically I have no clue what I'm doing.

1. The problem statement, all variables and given/known data

Determine a vector equation:

[tex]\[

x_2 = 3x_1 + 2

\]

[/tex]

2. Relevant equations

solution given by book: [tex]\[

x = ( - 1, - 1) + t(1,3)

\] [/tex]

3. The attempt at a solution

[tex] \[

\begin{array}{l}

x_2 = 3x_1 + 2 \\

x_2 - 1 = 3x_1 + 1 \\

\frac{{(x_2 - 1)}}{3} = x_1 + \frac{1}{3} = t \\

x_1 = - \frac{1}{3} + 1t \\

x_2 = 1 + 3t \\

\\

x = ( - \frac{1}{3},1) + t(1,3) \\

\end{array}

\]

[/tex]

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# Homework Help: Determining A Vector Equation — What Am I Doing Wrong?

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