1) O(0,0,0), A(2,-2,3), B(0,1,-4)
OA = (2-0,-2-0,3-0) = (2,-2,3)
|OA| = sqrt(2^2 + (-2)^2 + 3^2) = sqrt(17)
OB=(0-0,1-0,-4-0) = (0,1,-4)
|OB| = sqrt(0+1^2+(-4)^2) = sqrt(17)
|OA| = |OB|, что и требовалось доказать.
2) c=a+b = (4,0,-5) + (2,-3,-1) = (4+2,0-3,-5-1) = (6,-3,-6)
|c| = sqrt(6^2+(-3)^2+(-6)^2) = sqrt(81) = 9