What is the displacement of 45° SE 13 km and 20° NE 14 km??
(With Solution)
"and" meaning adding?
measure angles for 000, true N.
D=13cos(90+45)N+13sin(90+45)E+...
Now on the second vector, your symbols are not standard. NE is ambigious term, and should not be used in physics. Is it 20deg N of E, or 20deg E of N? http://www.physicsclassroom.com/class/vectors/Lesson-1/Vectors-and-Direction
At any rate, break the second vector into N,E components adn then add like directions, that yields the final vector.