A basic operation is to split a vector into components with respect to a coordinate system. The xcomponent gives the amount of the vector in the xdirection and the ycomponent gives the amount in the ydirection.
Take: +x = right and +y = up. To find the components v, draw this vector as the hypotenuse of a right triangle, with the other two sides parallel to the x and y axes. Then:
cos(θ)  = 

, so  v_{x} = v cos(θ) 
Including the positive direction from the diagram, v_{x} = +v cos(θ)
sin(θ)  = 

, so  v_{y} = v sin(θ) 
Including the negative direction from the diagram, v_{y} = v sin(θ)
If v = 3.5 and θ = 25 degrees, then: v_{x} = 3.5 cos(25) = 3.2 v_{y} = 3.5 sin(25) = 1.5
Final result: v = 3.2 1.5