How do I calculate vector magnitude with given coordinates?

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Homework Statement


Printed word problem text about two teams of explorers leaving a common point, one travelling 5 km north then 7 km along a river 15 degrees west of north, the other climbing a ridge 6 km northeast then 4 km north, asking whether their 5 km radios can communicate.


Homework Equations


magnitude of vector u = sqrt(u1^2 + u2^2 + u3^3)

The Attempt at a Solution


I'm not sure how to do this or draw a picture. Could someone show me how to do this? Thanks!
 
You can begin with a coordinate system. (PF rules require something of an effort is made by the requester...)