(i)
![\[P\left( 1,\text{ }-1,\text{ }0 \right)\text{ }and\text{ }Q\text{ }\left( 2,\text{ }1,\text{ }2 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-ac9686504951ee970765e1514be8dbf1_l3.png "Rendered by QuickLaTeX.com")
Given:
The points
By using the formula,
The distance between any two points
![\[\left( a,\text{ }b,\text{ }c \right)\text{ }and\text{ }\left( m,\text{ }n,\text{ }o \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-35c34c22a15e72bb736c916fe956b30a_l3.png "Rendered by QuickLaTeX.com")
is given by,
∴ The Distance between
![\[P\text{ }and\text{ }Q\text{ }is\text{ }3\text{ }units\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-83b09081c11d91e764750bebf91c38f8_l3.png "Rendered by QuickLaTeX.com")
(ii)
![\[A\text{ }\left( 3,\text{ }2,\text{ }-1 \right)\text{ }and\text{ }B\text{ }\left( -1,\text{ }-1,\text{ }-1 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-3fbe19a4b772d1e8a07aec1bb8c15887_l3.png "Rendered by QuickLaTeX.com")
Given:
The points
By using the formula,
The distance between any two points
is given by,
![\[=\text{ }5\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-e45ddd13b94c34a71f1a55ef7d8c9ef2_l3.png "Rendered by QuickLaTeX.com")
∴ The Distance between
![\[A\text{ }and\text{ }B\text{ }is\text{ }5\text{ }units\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-610d172abfebcfda19da7faab7b732db_l3.png "Rendered by QuickLaTeX.com")
