Curve sketching in calculus 3

• Sep 17th 2012, 02:54 PM
allstar2
Curve sketching in calculus 3
Sketch the curve with the given vector equation and indicate with the arrow the direction of the curve: a) r(t)=<1+t, 2+t, 3+2t>
• Sep 17th 2012, 03:23 PM
Soroban
Re: Curve sketching in calculus 3
Hello, allstar2!

Do they really expect us to sketch a three-dimensional graph?

Quote:

$\text{Sketch the curve with the vector equation: }\:\vec r(t) \:=\:\langle 1+t,\:2+t,\:3+2t\rangle$
$\text{and indicate with the arrow the direction of the curve.}$

$\text{This is a straight line through the point }(1,2,3)$
. . $\text{with direction vector }\vec v \:=\:\langle 1,1,2\rangle$
• Sep 17th 2012, 08:22 PM
allstar2
Re: Curve sketching in calculus 3
Would it also go through the point (2,3,5)? I've seen people post pictures of graphs on here before so I just wondered if anyone could.