Question

Find the distance between the points P(5,0,18) and Q(6,−3,13).

Answer 1

The distance between the points P(5,0,18) and Q(6,-3,13) is approximately 5.92 units.

Step-by-step explanation:

To find the distance between two points in space, we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

Using the given points, P(5,0,18) and Q(6,-3,13), we can substitute the values into the formula:

d = sqrt((6 - 5)^2 + (-3 - 0)^2 + (13 - 18)^2)

d = sqrt(1^2 + (-3)^2 + (-5)^2)

d = sqrt(1 + 9 + 25)

d = sqrt(35)

Therefore, the distance between the points P(5,0,18) and Q(6,-3,13) is approximately 5.92 units.