Vector Problem: Find Magnitude & Angle of B

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To find the magnitude and angle of vector B in the equation A + B = C, start by noting the given magnitudes and angles of vectors A and C. Vector A has a magnitude of 10.1 m at 46.0° and vector C has a magnitude of 16.8 m at 17.7° from the -x direction. To determine vector B, use the relationship B = C + (-A), which involves drawing the vectors and calculating their components. The Pythagorean theorem can help find the magnitude, while the angle can be derived from the components of vector B. Completing these calculations will yield the required magnitude and angle for vector B.
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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
 
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Did you draw it out? What is giving you trouble? You need to show some of your thoughts.
 
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.
 
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
 
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.
 

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