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• I-Learn, Problem Set, Class Pictures

You can access this page in I-Learn. It's the third bullet (Class Activities) on the home page.

Brain Gains (Rapid Recall, Jivin' Generation)

We start each class with a few brain pushups. Both recall and generation serve the same purpose, namely helping your brain form and grow pathways to connect information.

1. True/False: It is OK if I don't get everything right the first time I attempt it.
   • The solution is a possible class theme song: Try Everything
2. Give the component form of a vector that points from $(0,3)$ to $(4,0)$.
3. Find the distance between $(1,2,0)$ and $(0,0,2)$.
4. Construct a rough sketch of the points $(1,0,3)$ and $(0,2,3)$.

Group Problems

Remember to pass the chalk after each problem.

1. In 3D, plot the points $(1,2,3)$ and $(-2,4,-3)$.
2. Find the distance between the two points $(3,5,-2)$ and $(-1,6,4)$. Then find the distance between the point $(3,5,-2)$ and an arbitrary point $(x,y,z)$.
3. Find the component form of the vector that starts at $(4,-3)$ and ends at $(2,-2)$.
4. Give a unit vector that points in the same direction as the previous. Then give a vector of length 3 that points in the same direction.
5. Plot the vector valued function $\vec r(t) = (-2,1)t+(4,-3)$ for $0\leq t\leq 3$.
6. Give the component form of a vector that points from $(1,2,3)$ to $(-2,4,9)$.
7. Give a vector equation of the line that passes through the point $(1,2,3)$ and $(-2,4,9)$.
8. Use the law of cosines to find the angle between the vectors $(-2,1)$ and $(1,3)$.
9. For this one, have everyone in the group use chalk at the same time. In 3D, plot the points $(1,2,0)$, $(1,0,3)$, $(0,2,3)$, $(1,2,3)$, $(-2,4,-3)$.

Presentations

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