1. Calculate the dot product of vectors a and b: 30.0 B (2.40 m) y 0 A (3.60 m) 70.0⁰ 2. Sam has measured the end points of two poles, and wants to know the angle between them: (11,5,8) X (4,8,2) b ax k 8 a ay az y 3. Vector a has magnitude 3, vector b has magnitude 4 and the angle between a and b is 60°. What is the value of a. b.? 4. Vector a has magnitude 3√2, vector b has magnitude 5 and the angle between a and b is 135°. What is the value of a. b.? 5. What is the size of the angle between the vectors a = (2, 5, -1) and b = (-3, 2, 6)?
1. Calculate the dot product of vectors a and b: 30.0 B (2.40 m) y 0 A (3.60 m) 70.0⁰ 2. Sam has measured the end points of two poles, and wants to know the angle between them: (11,5,8) X (4,8,2) b ax k 8 a ay az y 3. Vector a has magnitude 3, vector b has magnitude 4 and the angle between a and b is 60°. What is the value of a. b.? 4. Vector a has magnitude 3√2, vector b has magnitude 5 and the angle between a and b is 135°. What is the value of a. b.? 5. What is the size of the angle between the vectors a = (2, 5, -1) and b = (-3, 2, 6)?
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 24P
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