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 R y | Calculation: If the wind is coming from the northwest, then it points southeast. Assume that the two vectors A and W . Where vector A and W represent plane and wind. Now place the vector on the coordinate system to obtain the components of each vectors. The sketch of the vectors is given below in Figure 1. Figure 1. The components of each vector is given by A x = A cos 0 ° = 600 cos 0 ° = 600 W x = W cos 315 ° = 100 cos 315 ° = 70.7 A y = A sin 0 ° = 600 sin 0 ° A y = 0 W y = W sin 315 ° = 100 sin 315 ° = − 70.7 The resultant of two vectors can be calculated as follows: R x = A x + W x = 600 + 70

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

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ISBN: 9780137554843

Author: Allyn Washington, Richard Evans

Publisher: PEARSON+

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Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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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 2E

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To find: The resultant location of the ship if the 41.25° angle is changed to 31.25°.

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Chapter 9.4, Problem 1E

Chapter 9.4, Problem 3E

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Chapter 9 Solutions

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

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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The resultant location of the ship if the 41.25 ° angle is changed to 31.25 ° .

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To find: The resultant location of the ship if the 41.25° angle is changed to 31.25°.

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Chapter 9 Solutions