Resolve F1 into components along the u and v axes 2

Resolve F_1 into components along the u and v axes and determine the magnitudes of these components.

Solution:

Let us first draw the vector components as follows:

Now, let us draw the vectors tail to tail as follows:

Now, we can use the Sine law to figure out F_{1v} and F_{1u}. (Forgot the Sine Law?)

\frac{F_{1v}}{\sin30^0}=\frac{250}{\sin105^0}

F_{1v}=129N

\frac{F_{1u}}{\sin45^0}=\frac{250}{\sin105^0}

F_{1u}=183N

This question can be found in Engineering Mechanics: Statics (SI edition), 13th edition, chapter 2, question 2-9.