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Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Section 10-6 Vectors.

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1 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Section 10-6 Vectors

2 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Glossary Terms 10.6 Vectors in Geometry A vector is a mathematical object that has both magnitude and direction. Notation: Arrows are used to represent vectors with a lower case letter. The magnitude or length is given by ______

3 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 1. The velocity of the ______ is an example of a vector because velocity has both ____________ and ________________.

4 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Glossary Terms 10.6 Vectors in Geometry The reference of a vector is the positive x-axis

5 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 2. Find the magnitude and direction of the vector

6 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Vector Addition 10.6 Vectors in Geometry A vector sum is the combination of two or more vectors to get a new vector called the resultant.

7 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 10.6 Vectors in Geometry 3. A hiker hikes 2 miles SE and then turns and hikes 3 miles S. Find the resultant vector

8 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 4. Find the resultant of the sum of three

9 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 5. Find the resultant of

10 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. http://www.ask.com/bar?q=Vecto r+Addition&page=2&qsrc=2070& ab=0&u=http%3A%2F%2Fwww. surendranath.org%2FApplets%2 FMath%2FVectorAddition%2FVe ctorAdditionApplet.htmlhttp://www.ask.com/bar?q=Vecto r+Addition&page=2&qsrc=2070& ab=0&u=http%3A%2F%2Fwww. surendranath.org%2FApplets%2 FMath%2FVectorAddition%2FVe ctorAdditionApplet.html

11 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 10.6 Vectors in Geometry the parallelogram method. parallelogram method Find the sum of vectors

12 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 6. Two ropes are attached to a heavy object. Two people are pulling on the rope with forces of 15 and 22 newtons. The angle between the ropes is 100 degrees. Find the magnitude of the force on the object and its direction

13 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Assignment Page 677 # 10-15,18,21,23 and 8


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