I mostly just want to know if I did this correctly... And if not, where I went wrong.(adsbygoogle = window.adsbygoogle || []).push({});

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

Of [itex]\overline{U}[/itex]=(-2, 6) is the vector [itex]\overline{AB}[/itex] and the midpoint of the line segment from A to B has the coordinates (2,1). Find A and B.

Let

[itex]\overline{A}[/itex]=(a_{1}, a_{2})

[itex]\overline{B}[/itex]=(b_{1}, b_{2})

2. Relevant equations

3. The attempt at a solution

[itex]\overline{AB}[/itex]=(a_{1}, b_{1}) + t(b_{1}-a_{1}, b_{2}-a_{2})

rearranging I got:

[itex]\overline{AB}[/itex]=(1-t)(a_{1}, b_{1}) + t(a_{2}, b_{2})

So when t=0 I have the coordinates (a_{1}and b_{1})

and when t=1 I have the coordinates (a_{2}and b_{2})

So plugging the numbers:

[itex]\overline{AB}[/itex]=(-2,6) + t(-2 - 2, 6 - 1)

=(1-t)(-2, 6) + t(2, 1)

[itex]\overline{A}[/itex]=(-2, 2)

[itex]\overline{B}[/itex]=(6, 1)

Did I do it right? or am I way off?... lol

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# Calc 3, vector problem

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