5 4 Vectors Part 1 Unit 1 OBJ

5. 4 Vectors (Part 1) Unit 1 OBJ: SWBAT: • Graph vectors HW: p 346 (9 – 24)

What is a Vector? � A vector is a quantity that has both magnitude and direction. � To denote vectors: �Use boldface letters: v v �Place arrow over letter: � Represent a vector using an arrow. �Magnitude = length of arrow �Direction = arrowhead � A geometric vector, or a directed line segment, occurs in the xy -plane. �In the example, we denote the geometric vector by �Initial Point = P �Terminal Point = Q � If vector v and P have the same magnitude and direction, we write v =. Q .

More About Vectors: �Zero Vector = a vector whose magnitude is 0 �Has no direction �Equal Vectors = have same magnitude and direction �Written as v = w

Adding Vectors Geometrically

Properties with Vectors

Properties with Vectors �Zero Vector, 0, has the following property for any vector: �Same magnitude, but opposite direction: � -

Copyright © 2012 Pearson Education, Inc. Publishing as

Copyright © 2012 Pearson Education, Inc. Publishing as

Use the vectors to graph each of the following vectors: a) v – w b) 2 v + 3 w c) 2 v – w + u Copyright © 2012 Pearson Education, Inc. Publishing as

Use the vectors to graph each of the following vectors: a) v – w b) 2 v + 3 w c) 2 v – w + u Copyright © 2012 Pearson Education, Inc. Publishing as