Problem Solving using Vectors (AQA AS Maths): Revision Note

Problem Solving using Vectors

Problem-solving with vectors

• Vectors can be used to prove two lines are parallel (see Vector Addition)

• They can also be used to show points are collinear (lie on the same straight line)

• Vectors can be used to find missing vertices of a given shape

• You will need a good understanding of how to divide a line segment into a given ratio

Using trig in vector problems

• When problem-solving with vectors, trigonometry can help us:

  • convert between component form and magnitude/direction form (see Magnitude Direction)

  • find the angle between two vectors using Cosine Rule (see Non-Right-Angled Triangles)

  • find the area of a triangle using a variation of Area Formula (see Non-Right-Angled Triangles)