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## Sections 8-4 and 8-5

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**Sections 8-4 and 8-5**Vectors**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.**4. Resultant – the sum of two or more vectors**5. Unit vector – a vector with magnitude of one unit • Inner product of vectors in a plane- 7. Inner product of vectors in space -**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**2, not perpendicular**13, not perpendicular 5, not perpendicular**One clown is exerting a force of 270 and the other is 360.**(Use the parallelogram method.) Clown 1 Bull Clown 2**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.**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**Find the magnitude and the direction for the resultant**vector**Find the magnitude and the direction for the resultant**vector**Textbook page 509 # 11-19 and**• Textbook page 517 # 4,5,6 and #10-#15