# Numerical problem on vector algebra - components of vectors

#### SickPhysics

1. The problem statement, all variables and given/known data

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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#### lewando

Homework Helper
Gold Member
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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