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vector scompsition in two not ortogonal directions

vector scompsition in two not ortogonal directions

vector scompsition in two not ortogonal directions

(OP)
Does anyone know a formula where :

I have a vector "c" that forms angle "alfa" with "a" direction and angle "beta" :

Does someyone know a formula in order to have vector (c)components on two direction (a e b) known the angles "alfa" e "beta" ?

Thanks
molossi74

RE: vector scompsition in two not ortogonal directions

If I understand the question, you have one vector and you want to find two vectors in the A and B directions that sum to the original vector?

If that's the case, just lay it out on paper and it becomes a triangle problem.  You know all the angles and one side, so Law of Sines should get you the other two sides.  If A and B are at right angles, then the original vector is the hypotenuse of a right triangle and it's pretty straightforward.

RE: vector scompsition in two not ortogonal directions

Unless it is a problem in three dimensions!

RE: vector scompsition in two not ortogonal directions

(OP)
thanks I have solved it with Carnot theorem !

bye

RE: vector scompsition in two not ortogonal directions

If two vectors sum to make a third one, they are all in one plane, so it is still a 2-dimensional problem.

RE: vector scompsition in two not ortogonal directions

Correct, of course, JStephen.  But the original post (at least as far as I understood it) nowhere talks about two vectors summing to make a third vector.  It talks about a vector having components in two (other) directions.

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