What is the Vector Sum of Two Vectors with Equal Magnitude and Different Angles?

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The discussion revolves around calculating the vector sum of two vectors with equal magnitudes of 29 m at angles of 31° and 105°. The user attempts to find the x and y components using the equations x = 29cos(31°) + 29cos(105°) and y = 29sin(31°) + 29sin(105°). However, they express confusion over the correctness of their calculations, as their input into a system called "lon capa" returned an error. The user suspects a possible mistake in distinguishing between degrees and radians but believes their approach is sound. The conversation highlights the importance of careful component analysis in vector addition.
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Homework Statement


The two vectors a and b in the figure have equal magnitude of 29 m and the angles are θ1 = 31° and θ2 = 105°. Find the x-component of their vector sum r. Find y-component sum. Magnitude of the vector sum? Find the angle that their vector sum r makes with the positive direction of the x-axis.


Homework Equations





The Attempt at a Solution



Ok i am confused as to why this won't work.
x = 29cos31 + 29cos105
y = 29sin31 + 29sin105

The second vector/magnitude points towards the y-axis and the first one points away. i can not seem to insert a picture.
 
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Looks good to me. Why do you think that's wrong? I'm assuming you're not making a simple mistake like confusing degrees and radians.
 
i mean i think it is right. i put that answer into lon capa and it said it was wrong, so i figured i was doing something wrong.
 

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