Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 3 - Vectors in Physics - Conceptual Questions - Page 76: 8

Answer

$A$ and $B$ have the same direction.

Work Step by Step

If $A$ and $B$ do not have the same direction, the vectors $A$, $B$ and $C$ form a triangle. But, in a triangle each side is smaller than the sum of the other two sides. That is: C $\lt$ A + B, A $\lt$ B + C and B $\lt$ A + C. So, if C = A + B, than $A$ and $B$ have the same direction.
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