Unformatted text preview: special points, including zero crossings and extrema, and indicate the asymptotic behavior of the function, i.e. the value of the function in the limit of large positive or negative y . (10 points) (2) Consider two vectors and v G u G with u G being a unit vector. Assume the vectors not to be parallel, and denote by θ the angle between them. Sketch the two vectors as well as the vectors and v G parr v perp G , where v parr G is the component of in the direction of , and is the perpendicular component. Using the definition of the cosine, determine the length of v v G u G v per G p parr G in terms of and the length of . Show that the length of can be expressed in terms of a simple dot product. Specify in terms of and . Finally, consider two vectors v G v G parr v parr G v G u G v G and w G with not being a unit vector. Express the length of v w G parr G ( the component of v G in the direction of w G ) in terms of an appropriate simple dot product. (10 points)...
View Full Document
This note was uploaded on 09/23/2010 for the course MATH 216 taught by Professor Dickson during the Spring '10 term at UAA.
- Spring '10