Question

Given the points A(3,- 4, 2) and B(2, -1, 3), find the length of AB.

Answer 1

length of AB is
`√(11) units` .

Explanation:

Here we have , two points as A(3,- 4, 2) and B(2, -1, 3) . We need to find the length of AB. Let's find out:

We know that , Distance between any two points
`P(x_1,y_1,z_1), Q(x_2,y_2,z_2)` is given by distance formula as :

`Distance = √((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2)`

Putting A(3,- 4, 2) and B(2, -1, 3) in above formula :

⇒
`Distance = √((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2)`

⇒
`Distance = √((2-3)^2+((-1)-(-4))^2+(3-2)^2)`

⇒
`Distance = √(1+9+1)`

⇒
`Distance = √(11)`

Therefore , length of AB is
`√(11) units` .