Curve sketching in calculus 3

**allstar2** · September 17th 2012, 01:54 PM

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>

**Soroban** · September 17th 2012, 02:23 PM

Hello, allstar2!

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

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

$\text{This is a straight line through the point }(1,2,3)$
. . $\text{with direction vector }\vec v \:=\:\langle 1,1,2\rangle$

**allstar2** · September 17th 2012, 07:22 PM

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.

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