how do you sketch the curve r(t) = (2t -1 , t, t+3)?

thanks!

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- Jan 24th 2010, 07:15 AMalexandrabel90curves
how do you sketch the curve r(t) = (2t -1 , t, t+3)?

thanks! - Jan 24th 2010, 08:05 AMSoroban
Hello, alexandrabel90!

Quote:

How do you sketch the curve: .$\displaystyle r(t) \:=\: (2t -1 , t, t+3)$

Since the functions are linear, the graph is a straight line.

Plot any two points: .$\displaystyle \begin{array}{ccc}

r(1) &=& (1, 1, 4) \\

r(2) &=& (3,2,5)\end{array}$ . . and draw the line.