Two vectors A and B are directed such that there is an angle θ between them. 1) Which of the following statements is true about the scalar product of these two vectors? Choose all that apply. a-The scalar product must be a negative quantity. b-The scalar product must be a positive quantity. c-The scalar product cannot be zero. d-The scalar product will be a value between -|A||B| and |A||B| including the endpoints of that range. e-The scalar product cannot be greater than |A||B|. f-The scalar product is a quantity that has direction (i.e. it is a vector).

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
Chapter6: Energy Of A System
Section6.3: The Scalar Product Of Two Vectors
Problem 6.3QQ: Which of the following statements is true about the relationship between the dot product of two...
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 Two vectors A and B are directed such that there is an angle θ between them.

1) Which of the following statements is true about the scalar product of these two vectors? Choose all that apply. 

a-The scalar product must be a negative quantity.

b-The scalar product must be a positive quantity.

c-The scalar product cannot be zero.

d-The scalar product will be a value between -|A||B| and |A||B| including the endpoints of that range.

e-The scalar product cannot be greater than |A||B|.

f-The scalar product is a quantity that has direction (i.e. it is a vector).

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