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The x and y components of a vector r are rx = 16 m and ry = -8.5 m, respectively. Find the direction of the vector r.

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Final answer:

The direction of vector r with components rx = 16 m and ry = -8.5 m can be found using the inverse tangent function, indicating that the vector lies in the fourth quadrant, and the direction is given as '360° - |angle|' with respect to the positive x-axis.

Step-by-step explanation:

The question involves finding the direction of the vector r with components rx = 16 m and ry = -8.5 m using analytical methods.

Step-by-Step Explanation

Finally, to express the direction of the vector r correctly, you can say that it is '360° - |θ|' degrees measured counterclockwise from the positive x-axis, which is the standard convention for vector direction in two dimensions.

To conclude, the direction of the vector r is expressed as an angle measured from the positive x-axis towards the vector. In this case, with rx and ry given, we can calculate a specific numerical value for this angle using inverse trigonometric functions.

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