Numerical problem on vector algebra - components of vectors

AI Thread Summary
The discussion revolves around solving a vector algebra problem involving two beetles running on flat sand, with the goal of determining the magnitude and direction of Beetle 2's second run to match Beetle 1's final position. The problem requires breaking down the movements of both beetles into their vector components and applying trigonometric principles to find the required values. Participants are encouraged to attempt a solution before seeking help, as this fosters better understanding and collaboration. A diagram is requested to visualize the vectors involved. The thread emphasizes the importance of showing initial efforts in problem-solving to facilitate assistance.
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Homework Statement



Two beetles run across flat sand, starting at the same point. Beetle 1 runs 0.50m due east, then 0.80m at 30° north of due east. Beetle 2 also makes two runs; the first is 1.6m at 40° east of due north. What must be (a) the magnitude and (b) the direction of its second run if it is to end up at the new location of beetle 1?

This is a question from Fundamentals of Physics by Resnick/Halliday. Can someone solve it and if possible attach a diagram? Thanks in advance to anyone who solves it or atleast gives it a try. :^:
 
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You need to first make an attempt at a solution. At least let us know what is giving you a fit, and we can then help.
 
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