Question

What is the distance between P(–2, 1, 3) and point Q(–1, 4, –2)?

Answer 1

The distance `PQ=sqrt35`

Explanation:

We can do it using vectors.
`vec(PQ)=〈-1,4,-2〉-〈-2,1,3〉=〈1,3,-5〉`
The distance `PQ` is equal to the modulus of `vec(PQ)`
`= || vec(PQ) || =sqrt(1+9+25)=sqrt35`