I have been informed that on March 7th from 6:00am to 6:00pm Central Time Lamar University will be doing some maintenance to replace a faulty UPS component and to do this they will be completely powering down their data center.
Unfortunately, this means that the site will be down during this time. I apologize for any inconvenience this might cause.
Paul
February 18, 2026
Section 12.6 : Vector Functions
8. Write down the equation of the line segment starting at \(\left( {1,3} \right)\) and ending at\(\left( { - 4,6} \right)\).
Show SolutionThere really isn’t a lot to do with this problem. All we need to do is use the formula we derived in the notes for this section.
The line segment is,
\[\require{bbox} \bbox[2pt,border:1px solid black]{{\vec r\left( t \right) = \left( {1 - t} \right)\left\langle {1,3} \right\rangle + t\left\langle { - 4,6} \right\rangle \,\,\,\,\,0 \le t \le 1}}\]Don’t forget the limits on \(t\)! Without that you have the full line that goes through those two points instead of the line segment from \(\left( {1,3} \right)\) to \(\left( { - 4,6} \right)\).