Find the distance between the following pairs of points : P(1, -1, 0)

1.	Find the distance between the following pairs of points : P(1, -1, 0) and Q (2, 1, 2)
Answer» Given: P(1, -1, 0) and Q(2, 1, 2) To find: Distance between given two points Formula used: The distance between any two points (a, b, c) and (m, n, o) is given by, \(\sqrt{(a-m)^2+(b-n)^2+(c-0)^2}\) Therefore, Distance between (1, -1, 0) and (2, 1, 2) is = \(\sqrt{(1-2)^2+(-1-1)^2+(0-2)^2}\) = \(\sqrt{(-1)^2+(-2)^2+(-2)^2}\) = \(\sqrt{1+4+4}\) = \(\sqrt{9}\) = 3 Hence, Distance between P and Q is 3 units

Find the distance between the following pairs of points : P(1, -1, 0) and Q (2, 1, 2)

Answer»

Given: P(1, -1, 0) and Q(2, 1, 2)

To find: Distance between given two points

Formula used:

The distance between any two points (a, b, c) and (m, n, o) is given by,

\(\sqrt{(a-m)^2+(b-n)^2+(c-0)^2}\)

Therefore,

Distance between (1, -1, 0) and (2, 1, 2) is

= \(\sqrt{(1-2)^2+(-1-1)^2+(0-2)^2}\)

= \(\sqrt{(-1)^2+(-2)^2+(-2)^2}\)

= \(\sqrt{1+4+4}\)

= \(\sqrt{9}\)

= 3

Hence, Distance between P and Q is 3 units