1) m(-3; 6), n(2; -2)
1/3 m =(-3/3; 6/3) =(-1; 2)
a=1/3 m -n =(-1-2; 2-(-2)) =(-3; 4)
|a|=√((-3)^2 +4^2) =√25 =5
2) T(3; -2), B(-2; 0)
TB^2 =(3-(-2))^2 +(-2-0)^2 =25+4 =29
(x-3)^2 +(y+2)^2 =29
3) M(-6; 1), N(2; 4), K(2,-2)
a) MN^2= (2-(-6))^2 +(4-1)^2 =8^2 +3^2
MK^2= (2-(-6))^2 +(-2-1)^2 =8^2 +3^2
MN=MK
б) H - середина отрезка NK
x=(2+2)/2 =2
y=(4+(-2))/2 =1
H(2; 1)
|MH|=√((2-(-6))^2 +(1-1)^2) =√(8^2) =8