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Section 12.6 : Vector Functions
9. Write down the equation of the line segment starting at \(\left( {0,2, - 1} \right)\) and ending at\(\left( {7, - 9,2} \right)\).
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,
\[\require{bbox} \bbox[2pt,border:1px solid black]{{\vec r\left( t \right) = \left( {1 - t} \right)\left\langle {0,2, - 1} \right\rangle + t\left\langle {7, - 9,2} \right\rangle \,\,\,\,\,0 \le t \le 1}}\]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 \(\left( {0,2, - 1} \right)\) to \(\left( {7, - 9,2} \right)\).