article
A knight's journey
This article looks at knight's moves on a chess board and introduces you to the idea of vectors and vector addition.
Vector notation and geometry
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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. -
articleMultiplication of vectors
An account of multiplication of vectors, both scalar products and vector products. -
problemSpiroflowers
Age16 to 18Challenge level
Analyse these repeating patterns. Decide on the conditions for a periodic pattern to occur and when the pattern extends to infinity. -
problemQuaternions and rotations
Age16 to 18Challenge level
Find out how the quaternion function G(v) = qvq^-1 gives a simple algebraic method for working with rotations in 3-space. -
problemFrom point to point
Age14 to 16Challenge level
Can you combine vectors to get from one point to another? -
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problemFavouriteSpotting the loophole
Age14 to 16Challenge level
A visualisation problem in which you search for vectors which sum to zero from a jumble of arrows. Will your eyes be quicker than algebra?
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problemFavouriteTriangle in a triangle
Age14 to 16Challenge level
Can you work out the fraction of the original triangle that is covered by the inner triangle?
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problemFavouriteAreas of parallelograms
Age14 to 16Challenge level
Can you find the area of a parallelogram defined by two vectors?