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1. Given the following vectors: u=(1, 2,-4) and v=(2, 3, 5) Find: a) u.v b) u.u c) (u.v) v d) angle between u and v e) unit vector

1. Given the following vectors: u=(1, 2,-4) and v=(2, 3, 5) Find: a) u.v b) u.u c) (u.v) v d) angle between u and v e) unit vector

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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Solve the following problem. Upload your complete and organized solutions. 1. Given the following vectors: u=(1, 2, -4) and v=(2, 3, 5) Find: a) u.v b) u.u c) (u.v) v d) angle between u and v e) unit vector 2. Suppose that B =(2, 2, 1) and makes 30° with A and AB= 6. What is the magnitude of A? What is the angle between A and B if A. B=0 3. 4. Find (+v) (2u-v) given that uu=4, v=-5 and v.v=10 5. Determine if u and v are orthogonal u = (cos, sin 0,-1); v = (sin 0.-cos 0,0)
Transcribed Image Text:Solve the following problem. Upload your complete and organized solutions. 1. Given the following vectors: u=(1, 2, -4) and v=(2, 3, 5) Find: a) u.v b) u.u c) (u.v) v d) angle between u and v e) unit vector 2. Suppose that B =(2, 2, 1) and makes 30° with A and AB= 6. What is the magnitude of A? What is the angle between A and B if A. B=0 3. 4. Find (+v) (2u-v) given that uu=4, v=-5 and v.v=10 5. Determine if u and v are orthogonal u = (cos, sin 0,-1); v = (sin 0.-cos 0,0)
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