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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rection: Calculate the following. (Three points each)
2. Sam has measured the end points of two poles,
and wants to know the angle between them:
1. Calculate the dot product of vectors a and b:
(11,5,8)
A (3.60 m)
a
(4,8,2)
az
k
70.0
30.0
()
ax
y
B (2.40 m)
ay
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 3v2, 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)?
Transcribed Image Text:rection: Calculate the following. (Three points each) 2. Sam has measured the end points of two poles, and wants to know the angle between them: 1. Calculate the dot product of vectors a and b: (11,5,8) A (3.60 m) a (4,8,2) az k 70.0 30.0 () ax y B (2.40 m) ay 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 3v2, 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)?
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