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

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

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

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

Copyright © by Holt, Rinehart and Winston. All Rights Reserved.

Section 10-6 Vectors

Page 2: Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Section 10-6 Vectors.

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 ______

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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 ________________.

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Glossary Terms

10.6 Vectors in Geometry

The reference of a vector is the positive x-axis

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2. Find the magnitude and direction of the vector

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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.

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10.6 Vectors in Geometry

3. A hiker hikes 2 miles SE and then turns and hikes 3 miles S. Find the resultant vector

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a

4. Find the resultant of the sum of three a

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a

5. Find the resultant of ba

b

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• http://www.ask.com/bar?q=Vector+Addition&page=2&qsrc=2070&ab=0&u=http%3A%2F%2Fwww.surendranath.org%2FApplets%2FMath%2FVectorAddition%2FVectorAdditionApplet.html

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10.6 Vectors in Geometry

the parallelogram method.

parallelogram method

Find the sum of vectors

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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

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Assignment

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