Vector notation and geometry

There are 20 NRICH Mathematical resources connected to Vector notation and geometry
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?
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.
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.
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.
Napoleon's Theorem
problem

Napoleon's theorem

Age
14 to 18
Challenge level
filled star filled star filled star
Triangle ABC has equilateral triangles drawn on its edges. Points P, Q and R are the centres of the equilateral triangles. What can you prove about the triangle PQR?
Spiroflowers
problem

Spiroflowers

Age
16 to 18
Challenge level
filled star filled star filled star
Analyse these repeating patterns. Decide on the conditions for a periodic pattern to occur and when the pattern extends to infinity.
Quaternions and Rotations
problem

Quaternions and rotations

Age
16 to 18
Challenge level
filled star filled star filled star
Find out how the quaternion function G(v) = qvq^-1 gives a simple algebraic method for working with rotations in 3-space.
A Knight's Journey
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.
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.