**refer to attached picture** I'm having some trouble understanding what is happening here. I'm trying to write this vector into its component form so I can solve an equilibrium problem. But I don't understand how the book is splitting this vector. I only drew the vector that I am having trouble with so this isn't the entire problem. 1. The problem statement, all variables and given/known data Write the vector in cartesian vector form i.e split it up into its components. i,j,k are unit vectors in the direction x,y,z respectively. F is the force. 2. Relevant equations pythagoras theorem 3. The attempt at a solution To find the x & y components you consider the projected vector which lies on the x-y plane. x would be 3/5F and y would be -4/5F. z can be found by looking at the original vector which comes out to be 4/5F. So F = 3/5F i - 4/5F j + 4/5F k But that is not what the book says, the way it's written in the book is as follows F = 3/5(3/5F) i - 4/5(3/5F) j + 4/5F I don't understand why the book is doing this.