Vectors

  • Small pepper seedlings in turquoise pots.
    problem

    From Point to Point

    Age
    14 to 16
    Challenge level
    3 out of 3

    Can you combine vectors to get from one point to another?

  • Flexi Quad Tan
    problem

    Flexi Quad Tan

    Age
    16 to 18
    Challenge level
    1 out of 3

    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.

  • Coordinated crystals
    problem

    Coordinated Crystals

    Age
    16 to 18
    Challenge level
    1 out of 3

    Explore the lattice and vector structure of this crystal.

  • Polygon walk
    problem

    Polygon Walk

    Age
    16 to 18
    Challenge level
    1 out of 3

    Go on a vector walk and determine which points on the walk are closest to the origin.

  • Another Triangle in a Triangle
    problem

    Another Triangle in a Triangle

    Age
    16 to 18
    Challenge level
    2 out of 3

    Can you work out the fraction of the original triangle that is covered by the green triangle?

  • Fix me or crush me
    problem

    Fix Me or Crush Me

    Age
    16 to 18
    Challenge level
    2 out of 3

    Can you make matrices which will fix one lucky vector and crush another to zero?

  • Matrix meaning
    problem

    Matrix Meaning

    Age
    16 to 18
    Challenge level
    2 out of 3

    Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.

  • Nine Eigen
    problem

    Nine Eigen

    Age
    16 to 18
    Challenge level
    2 out of 3

    Explore how matrices can fix vectors and vector directions.

  • V-P Cycles
    problem

    V-P Cycles

    Age
    16 to 18
    Challenge level
    3 out of 3

    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?

  • An introduction to vectors
    article

    An 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.