Vector Problem: Find Magnitude & Angle of B

[jjc39]

In the sum A + B = C, vector A has a magnitude of 10.1 m and is angled 46.0° counterclockwise from the +x direction, and vector C has a magnitude of 16.8 m and is angled 17.7° counterclockwise from the -x direction. What are (a) the magnitude and (b) the angle (relative to +x) of B? State your angle as a positive number.

Some help here please

 

[hage567]

Did you draw it out? What is giving you trouble? You need to show some of your thoughts.

 

[EricVT]

Yes, try drawing it out and filling in all the details regarding the angles and magnitudes. It should be much easier to see what needs to be done.

 

[jjc39]

Yea I am knd of stuck on it I believe you have to find the magnitude by using the pythagorean theorem but calculating the angle is what is giving me trouble

 

[EricVT]

Keep in mind that B = C + (-A) so you can draw C and -A (same as A except in the opposite direction, watch your angles!), and then since you know the angles and the magnitudes of these vectors you can get the x- and y-components and find the components of B. The angle will follow from this once you know it, as well as the magnitude.

Keep at it.