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Working with Vectors

Vectors are important, not only for problems in pure mathematics but also for representing real-world situations, particularly in mechanics. This feature offers you some introductory problems on vectors as well as some more challenging tasks that deal with topics such as scalar and vector products, and matrices.
Vector Journeys link

Vector Journeys live

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?

Vector Walk link

Vector Walk live

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

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

Cross with the Scalar Product link

Cross with the Scalar Product live

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

Explore the meaning of the scalar and vector cross products and see how the two are related.

Fix Me or Crush Me link

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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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the Millennium Mathematics Project.