# Working with Vectors

## 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

##### 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?

### Vector Walk

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

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

### Cross with the Scalar Product

##### Stage: 5 Challenge Level:

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

### Fix Me or Crush Me

##### Stage: 5 Challenge Level:

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