Given the following force vectors: A is 27 lb at an angle of 28° clockwise from the +x-axis, and B is 44 lb at an angle of 52° clockwise from the +y-axis.
(a) Using the method of components find the magnitude and angle of the vector C such that 2A + C − B results in a vector with a magnitude of 38 lb pointing in the +x direction.
Horizontal component of a Vector A = A * cos [tex]\Phi[/tex]
Vertical Component of a Vector A = A* sin [tex]\Phi[/tex]
tan [tex]\Phi[/tex] = Vertical component of A/horizontal component of A
The Attempt at a Solution
To solve this, I've calculated the x and y components of vectors A and B, but do not know where to go from here. The closest I could get to an answer was I drew the vectors in coordinate system and drew the resultant vector that was asked of me. But I have no idea how to proceed with finding the magnitude and the exact direction.
A, B, and C are vectors.
Thanks for explaining.