How to Find Vector Components Along an Axis

[anti404]

1. Vector A has a magnitude of 3 m and makes an angle of 10o with the positive x axis. Vector B also has a magnitude of 10 m and is directed along the negative x axis. Enter your answers in distance then angle(in degrees).
Find A + B
Find A - B



2. R = sqrroot(Cx^2+Cy^2)
Cx = Ax+Bx
Cy = Ay+By
A*sin(theta)=x
B*sin(theta)=y



3. 3*sin10=.5209 = Ay; 3*cos10=2.954=Ax

basically, I don't know how to get By and Bx values from a vector that is following either axis. if I could get those, then I would become unstuck from this problem very quickly. any conceptual help would be appreciated.
Justin

 

[hage567]

1. Vector A has a magnitude of 3 m and makes an angle of 10o with the positive x axis. Vector B also has a magnitude of 10 m and is directed along the negative x axis. Enter your answers in distance then angle(in degrees).
Find A + B
Find A - B



2. R = sqrroot(Cx^2+Cy^2)
Cx = Ax+Bx
Cy = Ay+By
A*sin(theta)=x
B*sin(theta)=y



3. 3*sin10=.5209 = Ay; 3*cos10=2.954=Ax

basically, I don't know how to get By and Bx values from a vector that is following either axis. if I could get those, then I would become unstuck from this problem very quickly. any conceptual help would be appreciated.
Justin

Just draw out the B vector on its own. The Bx and By components have to add up to the total B vector. If the vector is ONLY in the x direction, what do you think the y component would be?