Vectors
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problemFlexi Quad Tan
As a quadrilateral Q is deformed (keeping the edge lengths constnt) the diagonals and the angle X between them change. Prove that the area of Q is proportional to tanX.
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problemPolygon Walk
Go on a vector walk and determine which points on the walk are closest to the origin.
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problemAnother Triangle in a Triangle
Can you work out the fraction of the original triangle that is covered by the green triangle?
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problemFix Me or Crush Me
Can you make matrices which will fix one lucky vector and crush another to zero?
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problemMatrix Meaning
Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.
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problemV-P Cycles
Form a sequence of vectors by multiplying each vector (using vector products) by a constant vector to get the next one in the seuence(like a GP). What happens?
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articleAn Introduction to Vectors
The article provides a summary of the elementary ideas about vectors usually met in school mathematics, describes what vectors are and how to add, subtract and multiply them by scalars and indicates why they are useful.