SOLUTION: u=(3,2+i,-i),v=(0,3-i,2),w=(3-i,-2,1+i) compute the following <u,v>

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: u=(3,2+i,-i),v=(0,3-i,2),w=(3-i,-2,1+i) compute the following <u,v>       Log On


   

Question 179946: u=(3,2+i,-i),v=(0,3-i,2),w=(3-i,-2,1+i)
compute the following
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I think you're looking for the dot product (inner product) of u and v.
The software doesn't like the brackets so they don't appear.
I've changed to parentheses.
(u,v)=u%5B1%5D%2Av%5B1%5D%2Bu%5B2%5D%2Av%5B2%5D%2Bu%5B3%5D%2Av%5B3%5D
(u,v)=3%2A0%2B%282%2Bi%29%283-i%29%2B%28-i%29%282%29
(u,v)=6-2i%2B3i-i%5E2-2i
(u,v)=6%2B%28-2i%2B3i-2i%29-i%5E2
Remember that i%5E2=-1
(u,v)=6%2B%28-i%29-%28-1%29
(u,v)=7-i