Vector notation and geometry

  • Vector Gem Collector
    game
    Favourite

    Vector gem collector

    Age
    14 to 18
    Challenge level
    filled star empty star empty star

    Use vectors to collect as many gems as you can and bring them safely home!

  • From point to point
    problem

    From point to point

    Age
    14 to 16
    Challenge level
    filled star filled star filled star
    Can you combine vectors to get from one point to another?
  • Vector Racer
    game
    Favourite

    Vector racer

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    The classic vector racing game.

  • Vector journeys
    problem

    Vector journeys

    Age
    14 to 18
    Challenge level
    filled star empty star empty star

    Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

  • Matrix meaning
    problem

    Matrix meaning

    Age
    16 to 18
    Challenge level
    filled star filled star empty star
    Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.
  • Polygon walk
    problem

    Polygon walk

    Age
    16 to 18
    Challenge level
    filled star empty star empty star
    Go on a vector walk and determine which points on the walk are closest to the origin.
  • Coordinated crystals
    problem

    Coordinated crystals

    Age
    16 to 18
    Challenge level
    filled star empty star empty star
    Explore the lattice and vector structure of this crystal.
  • Vector walk
    problem

    Vector walk

    Age
    14 to 18
    Challenge level
    filled star empty star empty star

    Starting with two basic vector steps, which destinations can you reach on a vector walk?

  • Hold still please
    problem

    Hold still please

    Age
    16 to 18
    Challenge level
    filled star empty star empty star
    Can you arrange a set of charged particles so that none of them start to move when released from rest?
  • Spotting the loophole
    problem

    Spotting the loophole

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    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?