University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 1, Problem 1.42E
(a) Find the scalar product of the vectors
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Question 1.1: Calculate the dot product of vectors A and B,
where JA|=5 and |B|=3 and EXPLAIN.
А
B
a.
Please don't provide handwritten solution ....
Use the definition of scalar product, · = ab cos ?, and the fact that · = axbx + ayby + azbz to calculate the angle between the two vectors given by = 5.0 + 5.0 + 5.0 and = 5.0 + 8.0 + 4.0.
Problem 4: It should be obvious that the magnitude of a vector is independent of the
choice of coordinate system. This implies that r r is the same for any set of axes. Use this
to prove that the dot product of two different vectors r.s is also independent of coordinate
system. [Hint: Consider the length of r + s.]
Chapter 1 Solutions
University Physics with Modern Physics (14th Edition)
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