# Vector Equation of a Line

- Author:
- John Fitzgerald

- Topic:
- Vectors

This investigation looks at the vector equation of a line. The construction is defined by some key points.
The line is parallel to vector

**b**The points A, and R are fixed to the line.Thinking critically about your previous knowledge of vectors, explore the following applet by moving around point R, A, and the end points of

**b**whilst observing the the information given in the algebra view. Answer the following questions. 1. What is the algebraic relationship between**b**and**AR**2. Can you define the vector**r**in terms of**a**and**AR**3. What does**a**really represent in general terms. 4. What comparisons can you make between your answer to question 2 and the equation for a line (y=mx + c)