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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 2. Suppose that B =(2, 2, 1) and makes 30⁰ with A and AB= 6. What is the magnitude of A?

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 30⁰ with A and AB= 6. What is the magnitude of A?

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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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 30⁰ with A and AB= 6. What is the magnitude of A?
Transcribed Image Text: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 30⁰ with A and AB= 6. What is the magnitude of A?
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