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
Textbook page 509 # 11-19 and • Textbook page 517 # 4,5,6 and #10-#15