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Hello! I have a homework for tomorrow. The question is: What are the consequences of the Pythagorean theorem?? On Wikipedia, they mixed the consequences and the uses of the theorem in one paragraph: 5.1 Pythagorean triples 5.2 Incommensurable lengths 5.3 Complex numbers 5.4...

Hello everyone, I was solving this problem: Justify that ln6= ln2+ln3 So: exp(ln2+ln3)=exp(ln2)*exp(ln3)= 2*3= 6 = exp(ln6) Till here, my work was okay. What I didn't understand is : why should we say that the exponential function is strictly increasing over R before being able to simplify the...

Re: locus of a point in Space So what's the final answer, if the lines are intersecting? Thanks

Re: locus of a point in Space why the support vector is the null vector? if we take for example the two lines (d): x=3t+2 (d'): x=t'+1 y=-t-1 t belongs to R and y=2t'-3 t' belongs to R z= t+1...

Re: locus of a point in Space Thanks a lot! yes I can see it :) but why should I show that the vectors (1/2,-1,-1/2) and (-3/2,-4,-1/2) are independent in part 3? And what if the two lines m and n are intersecting? what will be the locus of the midpoint of segment MB?

Hello everyone, Here's an exercise I have to solve: Given an orthonormal basis (O;i,j,k) and two lines m and n whose respective parametric equations are: x = 2+t x = 4-3t' y = 3-2t (t belongs to R) and y = 5-8t' (t' belongs to R) z = 5-t...