Problem #1: A data file is provided for use in all of the following questions. Each row of the data file contains 4 pieces of data:
$P(t)$, $Q(t)$, $R(t)$, $t_i$ for values of $i$ from 1 to $N$.
Download the data file from here, and construct a vector function
$\vec{r}(t) = <4P(t), 9Q(t), 9R(t)>$
at discrete times $r(t_i)$. Plot the curve in 3 dimensions produced by these points using the Matlab command `plot3`
as discussed in the tutorial. Set the `LineWidth` equal to 2.
Use your First Name, Last Name, and Student Number as the title for the graph (e.g., 'Johnny Good, 1234567').
Then save the graph as a Portable Network Graphics (.png) file, and upload it.
Problem #2: A second curve will be created from the same data set that you downloaded in Problem #1 above. For this one,
you will use
$\vec{r}(t) = <4P(t), 5Q(t), R(t)>$
Following the directions in the tutorial, use forward difference quotients on the discrete points of this new curve to
create unit tangent vectors $T(t_i)$, and unit normal vectors $N(t_i)$, for all $i$.
Next find the unit binormal vectors, $B(t_i)$ at each point $i$ using the cross function in Matlab. Enter the three
components of $B(t_{101})$ into the answer box below, separated with commas.
