University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 1 - Units, Physical Quantities, and Vectors - Problems - Discussion Questions - Page 27: Q1.16

Answer

1) No 2) Yes

Work Step by Step

1) a) A number can be negative . A vector cannot be negative . It has its magnitude and its directions . What could happen is that its directions is opposite to a pre-determined directions , that would be comparing it to another vector. A vector being negative ( without reference to another vector ) don't make any sense. 2) b) This make some sense. For example: Take any Vector A ⃗. Then define Vector B ⃗ with its tail at head of A ⃗ , and its head at the tail of A ⃗. So there sum will be Zero (0). A ⃗+B ⃗=0 This makes sense to write A ⃗=-B ⃗ So , This does not contradict what we concluded in part (a) As, we were comparing two vectors in this question. Thus , The vector in part (a) has no other vector to reference .
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