I What are the necessary trig functions for finding the rotation formula?

Ben Wilson
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I have a function of a 3 vector, i.e. f(+x,+y,+z) [ or for conveniance f=+++]

this function is repeated 4 times where:

f1 = + + +
f2 = + - +
f3 = - - +
f4 = - + +

I need a formula where i have a different vector for each function in a summation, to obtain the superposition of all 4 functions.

I'm having a nightmare trying to find a rotation formulae, can anyone help?

i'm guessing there will be some trig functions involved somewhere.
 
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Ben Wilson said:
I need a formula where i have a different vector for each function in a summation, to obtain the superposition of all 4 functions.
Can you state that formula?

Ben Wilson said:
I'm having a nightmare trying to find a rotation formulae, can anyone help?
What do you mean by "rotation formulae"?

Ben Wilson said:
i'm guessing there will be some trig functions involved somewhere.
Do you need to figure out the angles (like Euler angles) necessary for those rotations? Like knowing that you go from +x,+y,+z to -x,+y,+z by a certain combination of α, β, and γ for a given +x,+y,+z?
 

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