Sections 8-4 and 8-5
description
Transcript of Sections 8-4 and 8-5
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Sections 8-4 and 8-5
Vectors
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Vocabulary• 1. Vector – a quantity that has both
magnitude and direction.• 2. Magnitude – the length of the line
segment.
• 3. Direction – the directed angle between the positive x axis and the vector.
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4. Resultant – the sum of two or more vectors
5. Unit vector – a vector with magnitude of one unit
6. Inner product of vectors in a plane-
7. Inner product of vectors in space -
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8. Perpendicular vectors – vectors with an inner product of zero. 9. Parallel vectors – vectors with the same direction and different magnitude 10. Standard position – vectors with an initial point at the origin
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Inner Product
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(10,4)
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2, not perpendicular13, not perpendicular5, not perpendicular
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Geometric VectorsSum of two vectors
Parallelogram Method
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Geometric VectorsSum of two vectors
Triangle Method
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Triangle Method
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One clown is exerting a force of 270 and the other is 360. (Use the parallelogram method.)
Clown 1
Bull Clown 2
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Determine the resultant forces.
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Example 1, page 514
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Lenny Montana was a former 5-year world heavy weight wrestling champion and actor. Suppose that Lenny and a tag team wrestling partner are each pulling horizontally and at a rt angle to each other on the arms of a wrestling opponent. Lenny exerts a force of 180 pounds due north while his partner exerts a force of 125 pounds due east.
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Draw a labeled diagram that represents the forces.
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Determine the resultant force exerted on the opponent.
• 219 lb
• Determine the angle the resultant force makes with the east-west axis.• 55.2° north of east
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Find the magnitude and the direction for the resultant vector
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Find the magnitude and the direction for the resultant vector
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• Textbook page 509 # 11-19 and • Textbook page 517 # 4,5,6 and #10-#15
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