Vector products

  • Cross with the Scalar product
    problem

    Cross with the scalar product

    Age
    16 to 18
    Challenge level
    filled star filled star empty star
    Explore the meaning of the scalar and vector cross products and see how the two are related.
  • Quaternions and Reflections
    problem

    Quaternions and reflections

    Age
    16 to 18
    Challenge level
    filled star filled star filled star
    See how 4 dimensional quaternions involve vectors in 3-space and how the quaternion function F(v) = nvn gives a simple algebraic method of working with reflections in planes in 3-space.
  • Walls
    problem

    Walls

    Age
    16 to 18
    Challenge level
    filled star filled star filled star
    Plane 1 contains points A, B and C and plane 2 contains points A and B. Find all the points on plane 2 such that the two planes are perpendicular.
  • V-P Cycles
    problem

    V-P cycles

    Age
    16 to 18
    Challenge level
    filled star filled star filled star

    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?

Displaying 1 - 5 of 5