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Vectors

Flexi Quads
problem
Favourite

Flexi Quads

Age
16 to 18
Challenge level
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A quadrilateral changes shape with the edge lengths constant. Show the scalar product of the diagonals is constant. If the diagonals are perpendicular in one position are they always perpendicular?
Vector walk
problem
Favourite

Vector walk

Age
14 to 18
Challenge level
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Starting with two basic vector steps, which destinations can you reach on a vector walk?
Polygon walk
problem

Polygon walk

Age
16 to 18
Challenge level
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Go on a vector walk and determine which points on the walk are closest to the origin.