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Resources tagged with Vectors similar to Cubestick:

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Broad Topics > Vectors > Vectors

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Cubestick

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Flexi Quads

Stage: 5 Challenge Level: Challenge Level:1

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?

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Multiplication of Vectors

Stage: 5

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

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Fix Me or Crush Me

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

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V-P Cycles

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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?

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Vector Walk

Stage: 4 and 5 Challenge Level: Challenge Level:1

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

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Vector Countdown

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Play countdown with vectors.

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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. . . .

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Vector Journeys

Stage: 4 Challenge Level: Challenge Level:1

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?

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Nine Eigen

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Explore how matrices can fix vectors and vector directions.

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Air Routes

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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.

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8 Methods for Three by One

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

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?. . . .

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Which Twin Is Older?

Stage: 5

A simplified account of special relativity and the twins paradox.

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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.

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Flexi Quad Tan

Stage: 5 Challenge Level: Challenge Level:1

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.

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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.