D) Find the unit vector in the direction of u. E) Find the cosine of the angle between u and v. F) Without using a calculator, is the angle from E) acute, obtuse, or neither? How do you know?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 7E: Let A, B, and C lie on a straight line as shown near Exercise 8. Classify these claims as true or...
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Please answer D, E, F, for question #2. (>人<;)

D) Find the unit vector in the direction of ū.
E) Find the cosine of the angle between u and v.
F) Without using a calculator, is the angle from E) acute, obtuse, or neither? How do you know?
G) Find a Cartesian equation for Span({ū, v}), without using the cross product.
H) Find a vector W that is orthogonal to vector ū, such that Span({ū, V}) = Span({ū, w})
I) Find the orthogonal complement to Span({ü, V}).
Transcribed Image Text:D) Find the unit vector in the direction of ū. E) Find the cosine of the angle between u and v. F) Without using a calculator, is the angle from E) acute, obtuse, or neither? How do you know? G) Find a Cartesian equation for Span({ū, v}), without using the cross product. H) Find a vector W that is orthogonal to vector ū, such that Span({ū, V}) = Span({ū, w}) I) Find the orthogonal complement to Span({ü, V}).
2
. Let u = < 3,-1,2 > and v = < 2, 1, -1>. (Do these by hand and show your work!)
A) Find i •v
B) Find |jü||
C) Find the distance between ü and v.
Transcribed Image Text:2 . Let u = < 3,-1,2 > and v = < 2, 1, -1>. (Do these by hand and show your work!) A) Find i •v B) Find |jü|| C) Find the distance between ü and v.
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