Question

Find the distance between the points P(â8, â1, â4) and Q(â3, 8, â6). Use the square root symbol 'â' where needed to give an exact value for your answer.

Answer 1

`PQ = 8.83`

Explanation:

Given

`P = (8,1,4)`

`Q = (3,8,6)`

Required

Determine distance PQ

This is calculated as:

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

Where

`(x_1,y_1,z_1) = (8,1,4)`

and

`(x_2,y_2,z_2) = (3,8,6)`

So, we have:

`PQ = √((3- 8)^2+(8- 1)^2+(6- 4)^2)`

`PQ = √(-5^2+7^2+2^2)`

`PQ = √(25+49+4)`

`PQ = √(78)`

`PQ = 8.83`