Find the distance between the pair of points, Give the exact distance. Simplify completely. ( 3 , - 2 ) and ( 4,3 )

Question
Vectors and spaces
Find the distance between the pair of points, Give the exact distance. Simplify completely. ( 3 , - 2 ) and ( 4,3 )

2020-12-01
To find the distance between pair of points use the formula $$\displaystyle\sqrt{{{\left({x}{1}-{x}{2}\right)}^{{2}}+{\left({y}{1}-{y}{2}\right)}^{{2}}}}$$
The given value is (3,-2) and (4,3)
so
x1=3
y1=-2
x2=4
y2=3
So after applying the formula PSK=sqrt((4-3)^2+(3-(-2))^2) =sqrt((4-3)^2+(3+2)^2)ZSK
$$\displaystyle{\left({4}-{3}\right)}^{{2}}={1}$$
PSK(3+2)^2=5^2 =sqrt(1+5)^2 =sqrt(1+25) =sqrt26ZSK

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