Physics simple vector question?

Question

what would be the value of x and y (x,y) if

a. 45 km southeast??

.. i know the others..like:

a.10 km east

(10,0)

b. 5 km north

(0,5)

c. 45 60degrees north of east

(22.5 , 38.97)

Answer 1

Measure the angle that the vector makes with East (positive counter-clockwisw).  The length of the vector is V

(x,y) = (Vcos(theta), Vsin(theta))

-Fred

Answer 2

If it is exactly 45 degrees southeast, then the answer should be:

x = 45cos(45) = y = 45sin(45) = 23.64

(23.64, 23.64)