Calculating Vector Components with Given Magnitude: Solving for x and y

[emma3001]

Find a vector whose magnitude is 4 and whose x component is twice its y component.

I know that to calculate magnitude it is r= sqrt (x1 + x2)2 + (y1 + y2)2.

I also know that k(vector)= 4

I just am confused by the components (so x=2y ...)

 

[rock.freak667]

Let a=xi+yj

now |a|=4
so that 4=\sqrt{x^2+y^2}...(*)

You are told x=2y...can you use this fact and (*) to help you find x and y now?