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In Exercises 11-12, find the Euclidean distance between u and v and the cosine of the angle between those vectors. State whether that angle is acute, obtuse, or 90°. 11. a. u = (3, 3, 3), v = (1,0,4) b. u = (0, -2, -1, 1), v = (–3, 2, 4, 4)

In Exercises 11-12, find the Euclidean distance between u and v and the cosine of the angle between those vectors. State whether that angle is acute, obtuse, or 90°. 11. a. u = (3, 3, 3), v = (1,0,4) b. u = (0, -2, -1, 1), v = (–3, 2, 4, 4)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In Exercises 11-12, find the Euclidean distance between u and v and the cosine of the angle between those vectors. State whether that angle is acute, obtuse, or 90°. 11. a. u = (3,3,3), v = (1, 0, 4) b. u = (0, -2, -1, 1), v = (-3, 2, 4, 4)
Transcribed Image Text:In Exercises 11-12, find the Euclidean distance between u and v and the cosine of the angle between those vectors. State whether that angle is acute, obtuse, or 90°. 11. a. u = (3,3,3), v = (1, 0, 4) b. u = (0, -2, -1, 1), v = (-3, 2, 4, 4)
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