2D Vectors On the Real Plane Obj: Review vectors and apply knowledge from the imaginary plane to the real plane

Review Definition Magnitude Amplitude Equivalent vectors Opposite vectors Parallel vectors components

Example

Example Find the ordered pair that represents the vector from C(7, -3) to D(-2, -1). CD = (x2 – x1, y2 – y1) Then find the magnitude of CD. |x| =

Add, Subtract, Multiply by a Scalar Given r = (3, 9) and s = (-1, 6), find each of the following. r + s r – s s – r 5r 2r + 5s

Practice For You to Explore – page 501 On graph paper, do problems 1, 2a, 2b, 2c

Example Two players kick a soccer ball at exactly the same moment. One player’s foot exerts a force of 66 N north. The other player’s foot exerts a force of 88 N east. Draw the two vectors. What are the components of the 1st vector? What are the components of the 2nd vector? What are the components of the resultant vector? What is the force of the resultant vector?

Example In terms of A, U and V, find the coordinates of the fourth point if you complete the figure to form a parallelogram. U V A

Assignment 6.11 page 507 5 – 7, 10 - 13