Plane 1 contains points A, B and C and plane 2 contains points A
and B. Find all the points on plane 2 such that the two planes are
Your data is a set of positive numbers. What is the maximum value
that the standard deviation can take?
This problem is all about visualisation and symmetry; it might take a while to get to grips with the visualisation, and coordinates could be useful.
What happens when you rotate the cube about an axis through opposite vertices?