Calculating Resultant Vector from Angle & Vectors

AI Thread Summary
To calculate the resultant vector from two vectors (d and e) and the angle between them, the cosine law can be applied if only the magnitudes of the vectors are known. If the vectors are expressed in (x, y, z) form, they can be directly added or subtracted to find the resultant vector. The resultant vector can be defined as either the vector from the origin to the endpoint of d + e or from the endpoint of d to the endpoint of e. Using the law of cosines is necessary when only the magnitudes are provided. Understanding these concepts is crucial for accurately determining the resultant vector.
danialq15
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Homework Statement



Given two vectors(d and e) in the form of (x,y,z), and given the angle between the vectors, how do you find the resultant vector (a)


Homework Equations


Cosine equation


The Attempt at a Solution


I know that we can use cosine law some how?
 
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if the resultant vector is what I think it is (either the vector that goes from the origin to the end of d+e or the vector that goes from the end of d to the end of e) then you don't need to use the law of cosines, you can just add/subtract the vectors d and e from each other

you would have to use the law of cosines of you only have the magnitude of d and e though
 
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