Question

What is the distance (in ft) between the following two points:
rP=[a, b, c]
rQ=[d, e, f]

Answer 1

The distance between two points in three-dimensional space can be calculated using the distance formula.

Step-by-step explanation:

The distance between two points in three-dimensional space can be calculated using the distance formula. Given two points rP=[a, b, c] and rQ=[d, e, f], the distance between the two points is given by:

d = sqrt((d-a)^2 + (e-b)^2 + (f-c)^2)

For example, if rP=[2, 3, 4] and rQ=[5, 6, 1], the distance between the two points is:

d = sqrt((5-2)^2 + (6-3)^2 + (1-4)^2) = sqrt(3^2 + 3^2 + (-3)^2) = sqrt(9 + 9 + 9) = sqrt(27) = 3 sqrt(3) ft