The picture below shows three force vectors acting on an object.

Force F1\displaystyle {F}_{{1}} has magnitude 300\displaystyle {300} pounds, F2\displaystyle {F}_{{2}} has magnitude 100\displaystyle {100} pounds and F3\displaystyle {F}_{{3}} has magnitude 200\displaystyle {200} pounds.

Angle θ1\displaystyle \theta_{{1}} is 25\displaystyle {25}^{{\circ}} and angle θ2\displaystyle \theta_{{2}} is 40\displaystyle {40}^{{\circ}}.

free body diagram showing three vectors

What is the sum of just the i^\displaystyle \hat{{i}} components of these vectors?

Array:   pounds

What is the sum of just the j^\displaystyle \hat{{j}} components of these vectors?

Array:   pounds

Find the magnitude of the resulting force on the object.

Answer:   pounds