Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 12: Vectors and the Geometry of Space - Section 12.2 - Vectors - Exercises 12.2 - Page 705: 44

Answer

Magnitude of x-component,then cos 45=|x|\|F|. |x|=|F|cos 45=12(2^1\2\2)=62^1\2)Ib. Fx=-6^1\2i (negative sign shown) Magnitude of Y- component then sin 45 = |y|\|F|. |Y| = |F| sin 45 = 12(2^1\2) = 6(2^1\2\2)Ib. Fy = -6(2^1\2j) (negative sign shown in diagram).

Work Step by Step

Magnitude of x-component,then cos 45=|x|\|F|. |x|=|F|cos 45=12(2^1\2\2)=62^1\2)Ib. Fx=-6^1\2i (negative sign shown) Magnitude of Y- component then sin 45 = |y|\|F|. |Y| = |F| sin 45 = 12(2^1\2) = 6(2^1\2\2)Ib. Fy = -6(2^1\2j) (negative sign shown in diagram).
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