Vector Equation of a Line

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)