This investigation looks at the vector equation of a line. The construction is defined by some key points. [br][br]The line passing through points A and R is parallel to vector [b]b[/b].[br]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 points R, A, and the end points of [b]b[/b] whilst observing the the information given in the algebra view. [br]Answer the following questions. [br]1. What is the algebraic relationship between vector [b]b[/b] and vector [b]AR[/b]?[br]2. Can you define the vector [b]r[/b] in terms of the vector [b]a[/b] and the vector [b]AR[/b]?[br]3. What does [b]a[/b] represent in general terms?[br]4. What comparisons can you make between your answer to question 2 and the equation for a line (y=mx + c)?