Vector Problem: Find Magnitude & Angle of B

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Homework Help Overview

The problem involves vector addition, specifically finding the magnitude and angle of vector B in the equation A + B = C, where vectors A and C have specified magnitudes and angles.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the importance of visualizing the vectors by drawing them out and consider how to approach finding the magnitude and angle of vector B. There is mention of using the Pythagorean theorem and the need to calculate components based on the angles and magnitudes provided.

Discussion Status

Some participants have offered guidance on how to approach the problem by suggesting the drawing of vectors and considering their components. There is an acknowledgment of the challenges faced, particularly in calculating the angle of vector B.

Contextual Notes

Participants note the need to consider the direction of vector A when calculating vector B, as well as the angles being measured counterclockwise from the x-axis.

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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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