Lines and Planes

What key knowledge makes this type of question easy?
What is the key step in determining whether two lines are coplanar?[br]How many ways could this be done?
In the below Geogebra file, you can vary [math]k[/math] to help solve part a). But consider how you would do this algebraically.[br][br]For part b) you can vary the components of the point [math]B[/math] to find when it is normal to the curve.
Algebraically, what key fact do you need to use to find the coordinate of [math]B[/math]?
What is the importance/significance of this result?
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