Question

If P1 is (1,2,−3) and P2 is (−4,0,5), find

The distance P1P2

Answer 1

The distance between P1(-1, 2, -3) and P2(-4, 0, 5) is approximately 9.64 units.

Step-by-step explanation:

To find the distance between two points in three-dimensional space, we can use the distance formula. The distance between P1(x1, y1, z1) and P2(x2, y2, z2) is given by:

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

Using the given coordinates, we can substitute the values into the formula:

d = sqrt((-4 - 1)^2 + (0 - 2)^2 + (5 + 3)^2)

d = sqrt((-5)^2 + (-2)^2 + (8)^2)

d = sqrt(25 + 4 + 64)

d = sqrt(93)

Therefore, the distance between P1(-1, 2, -3) and P2(-4, 0, 5) is approximately 9.64 units.