Question

Find an equation of the plane that contains the curve with the given vector equation. $\mathbf{r}(t)=\left\langle t, 4, t^2\right\rangle$ 

   Find an equation of the plane that contains the curve with the given vector equation.
$\mathbf{r}(t)=\left\langle t, 4, t^2\right\rangle$
Single Variable Calculus: Early Transcendentals
Single Variable Calculus: Early Transcendentals
James Stewart,ā€¦ 9th Edition
Chapter 13, Problem 31 ā†“
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Find an equation of the plane that contains the curve with the given vector equation. $\mathbf{r}(t)=\left\langle t, 4, t^2\right\rangle$
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Transcript

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00:01 We're given the curve r of t equals the vector t4t squared.
00:07 And this means the points on the curve have coordinates x, y, z being equal to t, 4, and t squared.
00:17 So notice the y coordinate is always four no matter what, no matter what t is...
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