Find the distance between the following pairs of points:(i) `(2, 3,5)`and `(4,3,1)` (ii) `(3,7, 2)`and `(2,4, 1)`(iii) `(1, 3, 4)`and `(1, 3,4)` (iv) `(2, 1, 3)`and `(2,1,3)`.

Answer

N/a

Explanation

(i) Distance between the points (2,3,5) and (4,3,1)
`=sqrt((4-2)^(2)+(3-3)^(2)+(1-5)^(2))`
`=sqrt(4+0+16)=sqrt(20)=2sqrt(5)` unit
(ii) Distance between the points (-3, 7, 2) and (2, 4, -1)
`=sqrt((2+3)^(2)+(4-7)^(2)+(-1-2)^(2))`
`=sqrt(25+9+9)=sqrt(43)` unit
(iii) Distance between the points (-1, 3, -4) and (1,-3,4)
`=sqrt((1+1)^(2)+(-3-3)^(2)+(4+4)^(2))`
`=sqrt(4+36+64)=sqrt(104)=2sqrt(26)` unit
(iv) Distance between the points (2, -1, 3) and (-2,1,3)
`=sqrt((-2-2)^(2)+(1+1)^(2)+(3-3)^(2))`
`=sqrt(16+4)=sqrt(20)=2sqrt(5)` unit