Adding Vectors: E1 + E2 = Ep (Angle = 60°)

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SUMMARY

The discussion focuses on the vector addition of two equal vectors, E1 and E2, with an angle of 60 degrees between them. The resultant vector, Ep, is expressed as Ep = E1 + E2. Given that E1 and E2 are equal in length but not in direction, the relationship between Ep and E1 can be derived using the Law of Cosines, resulting in Ep = 2 * E1 * cos(30°). A visual representation of the vectors is recommended for clarity.

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duchuy
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Homework Statement
Beginner vectorial calculations
Relevant Equations
Ep = E1 + E2
I have this relation that says :
vector Ep = vector E1 + vector E2.
Given the angle between the vector is equal to 60 deg and E1 = E2, I have to give the relation between Ep and E1.
I'm struggling to add the angle value in this, since vector Ep = 2 vector E1. But since this isn't equal to vE1. vE1, i don't see how i can continue..
Thank you so much for your help!
 
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I assume that you mean that the LENGTH of E1 equals the LENGTH of E2, since they point in different directions and can not be equal vectors. In that case, I advise you to make a rough drawing of the two vectors, placed end-to-end at a 60-degree angle. That is what the sum is, beginning at the start of E1 and ending at the end of E2. Remember that the sum of the angles of a triangle is 180 degrees. You should be able to see the answer from that.
 
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Thank you sir!
 

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