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 Age 14 to 18
Challenge Level
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?
Vector Walk Age 14 to 18
Challenge Level
Challenge Level
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Cross with the Scalar Product Age 16 to 18
Challenge Level
Challenge Level
Explore the meaning of the scalar and vector cross products and see how the two are related.
Fix Me or Crush Me Age 16 to 18
Challenge Level
Challenge Level
Can you make matrices which will fix one lucky vector and crush another to zero?
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.