Finding Optimal Speed for Ring Wraiths Flying from Barad-Dur to Rivendell

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SUMMARY

The discussion revolves around a calculus III problem involving the optimal speed for the nine Ring Wraiths flying from Barad-Dur to Rivendell, which is directly north of Barad-Dur. Given that the wind is blowing from the west at 68 miles per hour, the Wraiths must head northwest to maintain a straight trajectory. The problem lacks specific distance and angle details, but the interpretation of the northwest direction as an azimuth of 315 degrees is crucial for solving the problem. The discussion also touches on the concept of pseudo vectors and their cross products.

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pattiecake
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This is actually homework for calc. III, but...eh...

The nine Ring Wraiths want to fly from Barad-Dur to Rivendell. Rivendell is directly north of Barad-Dur. The Dark Tower reports that the wind is coming from the west at 68 miles per hour. In order to travel in a straight line, the Ring Wraiths decide to head northwest. At what speed should they fly (omit units)?

Does anyone know how to attempt this problem when they don't give either the distance from Barad-Dur to Rivendell or the angle they are heading northwest?
 
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The way I interpret the problem, they do give you the angle. When they say that the Wraiths are headed northwest, I think they mean that the airspeed of the Wraiths is directly northwest, i.e. at an azimuth of 315 degrees (0 degrees being north, 270 being west).
 
the cross product of the two vector quantity is called phseduo vector can the product of two phseduo vector is phsedo vector if yes give example if no why?
 
Barad-dur is more easterly of Rivendell than northerly..
 
pattiecake said:
This is actually homework for calc. III

Then it should be in the Homework Forum.
 

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