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]b[/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]b[/b] whilst observing the the information given in the algebra view. Answer the following questions. 1. What is the algebraic relationship between [b]b[/b] and [b]AR[/b] 2. Can you define the vector [b]r[/b] in terms of [b]a[/b] and [b]AR[/b] 3. What does [b]a[/b] 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)