# Finding vector magnitude

1. Feb 12, 2008

### 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 ....)

2. Feb 12, 2008

### 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?