1. The problem statement, all variables and given/known data Prove the following statements about the inner product of two complex vectors with the same arbitrary numbers of components. (a)<u|w>=<w|u>* (b)|<u|w>|^2=|<w|u>|^2 2. Relevant equations 1. <u|w>=(u*)w 2. (c_1+c_2)*=c_1*+c_2* 3. c**=c 4. ((c_1)(c_2))*=(c_1*)c_2* 3. The attempt at a solution I am having to do this for my Honors physics class in College and am in a Section of entry level Quantum Mechanics. Though I have yet been in a math class that has covered any sort of complex number math so I have been very lost when it comes to some of math that you do with complex numbers. I appologize if I should of posted this in a physics forum but I felt like since this is a math focused one it would be appropriate here. For problems (a) I believe I have a solution done. What I basically did is use equation 1 to expand into a sum of n complex conjugate of u times n w's. After this then I used rule 2 and 3 to show that the two sides of the equation are equal. For problem (b) though I have no idea even really how to do the squaring of the dot product. I assumed I would treat it like finding the inner product of the two vectors like in the previous problem and then squaring it but after that I have no idea what to do as the two sides are still not the same.