Explanation Formula used: The formula of resultant vectors and angle is given by R = R x 2 + R y 2 θ = tan − 1 | R x 2 R y 2 | Calculation: Suppose that the two dock vectors are A and B . Place the vectors on a coordinate system as show below in Figure 1. Figure 1. Find the component of each vector as follows: A x = A cos 180 ° = 1580 cos 180 ° = 1580 ( − 1 ) = − 1580 B x = B cos 215 ° = 1640 cos 215 ° = 1640 ( − 0.819 ) = 1343.4 A y = A sin 180 ° = 1580 sin 180 ° = 1580 ( 0 ) = 0 B y = B sin 215 ° = 1640 sin 215 ° = 1640 ( − 0.57 ) = − 940.7 The R x and R y can be calculated as follows: R x = A x + B x = − 1580 − 1343

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780134434636

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Chapter 9.4, Problem 7E

To determine

To find: The displacement of second dock from the first dock.

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Chapter 9.4, Problem 6E

Chapter 9.4, Problem 8E

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Chapter 9 Solutions

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

Ch. 9.1 - For the vectors in Example 2, show that R = B + C...Ch. 9.1 - Prob. 2PE Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E

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