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#### Resources tagged with Vectors similar to Cubestick:

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### There are 24 results

Broad Topics > Vectors > Vectors

### Cubestick

##### Stage: 5 Challenge Level:

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

### From Point to Point

##### Stage: 4 Short Challenge Level:

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

### Multiplication of Vectors

##### Stage: 5

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

##### Stage: 5 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?

### V-P Cycles

##### Stage: 5 Challenge Level:

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?

### Areas of Parallelograms

##### Stage: 4 Challenge Level:

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

### An Introduction to Vectors

##### Stage: 4 and 5

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. . . .

### Vector Countdown

##### Stage: 5 Challenge Level:

Play countdown with vectors.

### Fix Me or Crush Me

##### Stage: 5 Challenge Level:

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

### Nine Eigen

##### Stage: 5 Challenge Level:

Explore how matrices can fix vectors and vector directions.

### Another Triangle in a Triangle

##### Stage: 5 Challenge Level:

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

### Vector Journeys

##### Stage: 4 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?

### Polygon Walk

##### Stage: 5 Challenge Level:

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

### Vector Walk

##### Stage: 4 and 5 Challenge Level:

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

### Air Routes

##### Stage: 5 Challenge Level:

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.

### 8 Methods for Three by One

##### Stage: 4 and 5 Challenge Level:

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?. . . .

### Spotting the Loophole

##### Stage: 4 Challenge Level:

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?

### Vector Racer

##### Stage: 3 and 4 Challenge Level:

The classic vector racing game.

### Coordinated Crystals

##### Stage: 5 Challenge Level:

Explore the lattice and vector structure of this crystal.

### Flexi Quad Tan

##### Stage: 5 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.

### Matrix Meaning

##### Stage: 5 Challenge Level:

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

### A Knight's Journey

##### Stage: 4 and 5

This article looks at knight's moves on a chess board and introduces you to the idea of vectors and vector addition.

### The Use of Mathematics in Computer Games

##### Stage: 5

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

### Which Twin Is Older?

##### Stage: 5

A simplified account of special relativity and the twins paradox.