Other tags that relate to Matrix Meaning
Matrices. Physics. Vectors. Mathematical modelling. Investigations. Maths Supporting SET. Chemistry. Vector Notation and Geometry. Vector algebra. Scalar products.There are 7 results
Broad Topics > Vectors and Matrices > Vector algebra
Flexi Quads
Age 16 to 18 Challenge Level:
A quadrilateral changes shape with the edge lengths constant. Show the scalar product of the diagonals is constant. If the diagonals are perpendicular in one position are they always perpendicular?
Vector Journeys
Age 14 to 18 Challenge Level:
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?
Tetra Perp
Age 16 to 18 Challenge Level:
Show that the edges AD and BC of a tetrahedron ABCD are mutually perpendicular when: AB²+CD² = AC²+BD².
Quaternions and Rotations
Age 16 to 18 Challenge Level:
Find out how the quaternion function G(v) = qvq^-1 gives a simple algebraic method for working with rotations in 3-space.
Quaternions and Reflections
Age 16 to 18 Challenge Level:
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.
Flexi Quad Tan
Age 16 to 18 Challenge Level:
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.
Three by One
Age 16 to 18 Challenge Level:
There are many different methods to solve this geometrical problem - how many can you find?
NRICH is part of the family of activities in the Millennium Mathematics Project.