Recent content by FilipVz

Thank you, i solved it, using substitution: $$u= (k*ctgθ)/(1-k^2 )$$ But, my result is: $$ϕ=-arcsin((k∙ctgθ)/√(1-k^2 ))+c_2$$ instead of $$ϕ=arccos((k∙ctgθ)/√(1-k^2 ))+c_2$$ Is this correct?

Can somebody explain how to solve integral from the picture above?( solution is in the second line)

On the basis of the eigenvalues of A, classify the quadratic surfaces X'AX+BX+k=0 into ellipsoids, hyperboloids, paraboloids and cylindres. Can somebody help me to solve the problem?

So, all i need to do is to prove the postulates of Scalar product?

Linearity for a factor in the firs arugment: (aU,V)=a(U,V) Positive-definiteness: (U,U)>=0 (U,U)=0, iff U=0 What is the next step?

Hi, I like Serena, Scalar product is symmetric. Could you please explain to me what is "Linearity in the first argument"? Thanks, Filip

Hi, can somebody help me with the problem: Suppose that in a vector space over field of real numbers a positive defined norm is defined for each vector which satisfies the triangle inequality and ||aU||=|a|*||u||. Show that a real valued scalar product can de defined as follows...

Hi, can somebody help me with the following problem: Thank you. :)