what is the resultant/vector sum of the following:? (sorry can't understand our teacher)?

Question

A = 10units, 10deg, east of south
B = 6units, 15deg, counterclockwise (+) x-axis
(scale: 2units = 1cm)

Answer 1

the answer is here (10sin10 +6cos15)i+(6sin15-10sin10)j if assume north =+j

south=-j
east=+i
west=-i

Answer 2

You have two vectors each having magnetude and direction.
To add these vector you can do it graphically or you can calculate it by the rules of vector adition ;that is you break them down into compenents that add the componets and you have the componets of the new vector which is the sum of the vectors.