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.
problem
Favourite
Vector journeys
Age
14 to 18
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?
problem
Favourite
Vector walk
Age
14 to 18
Challenge level
Starting with two basic vector steps, which destinations can you reach on a vector walk?
problem
Cross with the Scalar product
Age
16 to 18
Challenge level
Explore the meaning of the scalar and vector cross products and see how the two are related.
problem
Fix me or crush me
Age
16 to 18
Challenge level
Can you make matrices which will fix one lucky vector and crush another to zero?
