Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 12 - Vectors and the Geometry of Space - 12.2 Exercises - Page 822: 1

Answer

a) Scalar. It only has magnitude. b) Vector. It has magnitude and direction. c) Vector. It has magnitude and direction. d) Scalar. It only has magnitude.

Work Step by Step

a) The cost of a theater ticket only has a magnitude, therefore it’s a scalar quantity. b) The current in a river is a vector quantity because it has both magnitude and direction, since it’s relevant to know both how fast and in which way the river flows. c) A flight path is also a vector quantity since we need to know both the distance the plane flies and the direction in which it does. d) A population only requires magnitude and is therefore scalar.
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