Lines and Planes
Instructions
Adapt the applet to help solve each problem.
In some of these questions, the applet has less information, and you may need to add points and vectors to this to help you solve each problem.
What key knowledge makes this type of question easy?
What is the key step in determining whether two lines are coplanar? How many ways could this be done?
In the below Geogebra file, you can vary to help solve part a). But consider how you would do this algebraically.
For part b) you can vary the components of the point to find when it is normal to the curve.
Algebraically, what key fact do you need to use to find the coordinate of ?
What is the importance/significance of this result?