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

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The discussion revolves around solving a vector addition problem involving three vectors with equal magnitudes and specified angles in the xy-plane. The user is struggling with calculating the components of these vectors using trigonometric functions (Cos and Sin) and is seeking step-by-step guidance to find the resultant vectors and their properties. The main tasks include determining the magnitude and angles of the resultant vector a + b + c, as well as a - b + c, and finding a fourth vector d that satisfies the equation (a + b) - (c + d) = 0. The user expresses a lack of understanding of the material and requests help to clarify the calculations. Clear, methodical assistance is needed to help them grasp the concepts involved in vector addition and subtraction.
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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?

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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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