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## Homework Statement

Three forces are exerted on an object placed on a tilted floor: http://gyazo.com/53e480ef2b77acc48de89d4cb4ba9e5c

a) What is the component of the net force parallel to the floor?

b) What is the component of the net force perpendicular to the floor?

c. What is the magnitude and direction of the net force?

## Homework Equations

## The Attempt at a Solution

I had a few questions about this problem.

I could take the usual route by defining North and East to be positive (the book always wants me to define +x and +y to be positive) and then tilting the vector ##\vec{F}_3## so that it matches up with with the axes. The y component of ##\vec{F}_3## would form a 30 degree angle in-between the two vectors:

http://gyazo.com/2446737a5ca979a1cd7c8d7d50a60682

I could then proceed to solve for the net forces in the x (parallel) and y (perpendicular) directions and then use them to find the magnitude and direction of the net force.

My question is what if I didn't take this route? What if I use component form to solve for the net force instead WITHOUT tilting the force ##\vec{F}_3##. Would the angle between ##\vec{F}_3## and the positive x axis simply be 60 degrees?

That would change my components from the other route I took. Would that not change the overall answer?