1. Section 8-6 Vectors and Parametric Equations

2. Vocabulary 11. Vector Equation – Equation of a vector 12. Parametric Equation – model of movement

3. Diagram of line passing through two points and is parallel to a vector

4. (x-1,y-4)=t(3,-2)

5. Write a vector equation of a line passing through (x-3,y+9)= t(-1,2)

6. Write a vector equation of a line passing through (x-2,y+5)= t(-5,3)

7. Find the parametric equations for a line parallel to vector q=(6,-3) and passing through the point at (-2,-4). Then make a table of values and graph the line. x=-2+t(6) y=-4+t(-3) x=-2+6t y=-4-3t

8. Now make a table of values for t and graph the line x=-2+6t y=-4-3t

9. Find the parametric equations of a line parallel to vector b = (3,-5) and passing through the point at (4,3). Then make a table of values and graph the line. x= 4+3t y= 3-5t

10. t x y -1 1 8 (1,8) 0 4 3 1 7 -2 2 10 -7 (4,3)

11. Write a vector equation of the line that passes through point P and is parallel to vector a. Then write parametric equations of the line, make a table and graph. P(4,2), vector a = (2,0) Vector equation (x-4,y-2)= t(2,0) Parametric equations x=4+2t y=2+0t t x y -1 2 2 0 4 2 1 6 2 2 8 2