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There are **25** NRICH Mathematical resources connected to **Vectors**, you may find related items under Vectors and matrices.

Game
Primary curriculum
Secondary curriculum
### Vector Gem Collector

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

Age 14 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Vector Journeys

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?

Age 14 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Vector Walk

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

Age 14 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Spotting the Loophole

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?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Areas of Parallelograms

Can you find the area of a parallelogram defined by two vectors?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Cubestick

Stick some cubes together to make a cuboid. Find two of the angles by as many different methods as you can devise.

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Square Coordinates

A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?

Age 11 to 14

Challenge Level

Article
Primary curriculum
Secondary curriculum
### Multiplication of Vectors

An account of multiplication of vectors, both scalar products and vector products.

Age 16 to 18

Article
Primary curriculum
Secondary curriculum
### 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.

Age 14 to 18

Problem
Primary curriculum
Secondary curriculum
### 8 Methods for Three by One

This problem in geometry has been solved in no less than EIGHT ways by a pair of students. How would you solve it? How many of their solutions can you follow? How are they the same or different? Which do you like best?

Age 14 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Flexi Quads

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?

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Another Triangle in a Triangle

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### From Point to Point

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

Age 14 to 16

ShortChallenge Level

Problem
Live Primary curriculum
Secondary curriculum
### Matrix Meaning

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Polygon Walk

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Fix Me or Crush Me

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Coordinated Crystals

Explore the lattice and vector structure of this crystal.

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### V-P Cycles

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?

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Air Routes

Find the distance of the shortest air route at an altitude of 6000 metres between London and Cape Town given the latitudes and longitudes. A simple application of scalar products of vectors.

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Flexi Quad Tan

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.

Age 16 to 18

Challenge Level

Article
Primary curriculum
Secondary curriculum
### The Use of Mathematics in Computer Games

An account of how mathematics is used in computer games including geometry, vectors, transformations, 3D graphics, graph theory and simulations.

Age 16 to 18

Article
Primary curriculum
Secondary curriculum
### 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.

Age 14 to 18