- #1
Lanniakea
- 14
- 1
Homework Statement
Let u = (2,k,1,-4) and v = (3,-1,6,-3)
For which values of k is the distance d(u,v) = 6?
Homework Equations
The Attempt at a Solution
6 = √((3-2)2 + (-1-k)2 + (6-1)2 + (-3-4)2)
6 = √(1 + 1 + k2 + 25 + 21)
6 = √(k2 + 48)
36 = k2 + 48
k = √-12
The answers seem to be 6k, -16k and -k or k= 2 and -4 (the answer sheet makes no sense and is mislabeled and unorganized horrifically) and I don't even have a remote idea how to get multiple solutions. I suppose my whole approach is wrong and I can't for the life of me understand what to do (I'm working without any textbooks)
Kind regards