Help Tried Several Times, but Can't Get Correct Solution

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SUMMARY

The discussion focuses on solving a vector addition and subtraction problem involving three vectors, a, b, and c, each with a magnitude of 42 m and specific angles in the xy-plane. The angles are 29°, 197°, and 314°, respectively. The user seeks to determine the resultant vector's magnitude and angle for both a + b + c and a - b + c, as well as a fourth vector d that satisfies the equation (a + b) - (c + d) = 0. The user struggles with applying trigonometric functions to calculate vector components accurately.

PREREQUISITES
  • Understanding of vector addition and subtraction
  • Proficiency in trigonometric functions, specifically sine and cosine
  • Familiarity with converting polar coordinates to Cartesian coordinates
  • Basic knowledge of vector components in the xy-plane
NEXT STEPS
  • Learn how to calculate vector components using sine and cosine functions
  • Study the process of vector addition and subtraction in two dimensions
  • Explore the concept of equilibrium in vector problems, particularly using the equation (a + b) - (c + d) = 0
  • Practice converting between polar and Cartesian coordinates for vectors
USEFUL FOR

Students studying physics or mathematics, particularly those focusing on vector analysis and trigonometry, as well as educators seeking to provide step-by-step guidance on vector problems.

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Homework Statement



Three vectors a ,b c, and each have a magnitude of 42 m and lie in an xy plane. Their directions relative to the positive direction of the x-axis are 29°, 197°, and 314°, respectively. What are (a) the magnitude and (b) the angle of the vector a + b + c, and (c) the magnitude and (d) the angle of a -b + c? What are (e) the magnitude and (f) the angle of a fourth vector d such that (a +b ) - ( c+ d) = 0?

Homework Equations





The Attempt at a Solution


 
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I have put the vectors in their respective places, and have tried calculating the components using the Cos and Sin functions. However, I get stuck there. I have not really came to any answers. I don't think I have the full grasp of this material yet. Hoping someone could show me how to do this step by step. That would be wonderful.
 

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