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a. 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°. i. u → = ( 1, 2, -3,0), v→= ( 5,1, 2, - 2 ) ii. u → = ( 0, 1,1,1,2), v→ = (2, 1, 0,-1,3)

a. 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°. i. u → = ( 1, 2, -3,0), v→= ( 5,1, 2, - 2 ) ii. u → = ( 0, 1,1,1,2), v→ = (2, 1, 0,-1,3)

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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2. a. 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 °. i. u → = (1,2,-3,0), ii. u → = ( 0, 1,1,1,2), V→= (2,1, 0,-1, 3) v→=(5,1, = (5,1,2,-2) →= b. Verify that the Cauchy-Schwarz inequality holds. i. u (4,1,1), V→=(1,2,3) ii. u → = ( 1, 2,1,2,3), v→ = (0,1,1,5,-2)
Transcribed Image Text:2. a. 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 °. i. u → = (1,2,-3,0), ii. u → = ( 0, 1,1,1,2), V→= (2,1, 0,-1, 3) v→=(5,1, = (5,1,2,-2) →= b. Verify that the Cauchy-Schwarz inequality holds. i. u (4,1,1), V→=(1,2,3) ii. u → = ( 1, 2,1,2,3), v→ = (0,1,1,5,-2)
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