# Find the equation of the line by using vectors

1. Mar 7, 2016

### TheMathNoob

1. The problem statement, all variables and given/known data
I have to find the equation of the line by using any vector a and b in a way that the line fits the triangle generated by vector addition. If you don't understand my statement, look at my attached file. You will understand what I mean by triangle. Is my solution right?

2. Relevant equations

3. The attempt at a solution

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2. Mar 7, 2016

### Qwertywerty

Essentially, it is correct.

However - There is no requirement for such constraint for t. Remember, you are writing an equation for a line; an infinite number of points are possible.
Further, you could just write the second term on the right, as t(a+b), and t can take an infinite number of values, corresponding to an infinite number of points on the line.

3. Mar 7, 2016

### TheMathNoob

thanks I wasn't actually clear on the fact that the boundaries are necessary to fit the idea of triangle.