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)