Polygon Walk
In this maths problem from NRICH, students are encouraged to think geometrically about vectors in order to deduce which vectors could generate particular sets of points.
When students have a feel for how two vectors can be used to reach a variety of points on the plane, they can be asked to sketch possible arrangements of points around the origin forming an equilateral triangle, and a hexagon, using points which can be reached using the vector i. Some calculation will be needed to work out the second vector needed to reach the appropriate points.
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Resource by: NRICH
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