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Section 10-6 Vectors
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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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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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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
Page 677 # 10-15,18,21,23 and 8