![\[\left(- 1,\text{ }3,\text{ }\text{- }4 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-8088405a2a26025c802dc0444041003e_l3.png "Rendered by QuickLaTeX.com")
Let x be
![\[\left( -1,\text{ }3,\text{ }\text{- }4 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-d6fc9e7cbf051af8d7e3e5404769cd5a_l3.png "Rendered by QuickLaTeX.com")
and y be
![\[\left( 1,\text{ -}3,\text{ }4 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-3f12268e52b00109c360f70df2161e2d_l3.png "Rendered by QuickLaTeX.com")
By using the formula,
Distance xy =
![\[\sqrt{[{{({{x}_{2}}~\text{ -}{{x}_{1}})}^{2}}~+\text{ }{{({{y}_{2}}~\text{- }{{y}_{1}})}^{2}}~+\text{ }{{({{z}_{2}}~\text{- }{{z}_{1}})}^{2}}]}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-6e288d5a4ca642eb7db846352b0320d2_l3.png "Rendered by QuickLaTeX.com")
So here,
x1 =
![\[-1\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-644e6ba3fd2149684207ec19c2f45db3_l3.png "Rendered by QuickLaTeX.com")
, y1 =
![\[3\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-df8bcc09db12acd0f6bda88b4b8135fb_l3.png "Rendered by QuickLaTeX.com")
, z1 =
![\[-4\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-c4a817348eb7e32fa63765187d9a7654_l3.png "Rendered by QuickLaTeX.com")
x2 =
![\[1\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-64318110f3a374fb786ef713c0b0c575_l3.png "Rendered by QuickLaTeX.com")
, y2 =
![\[-3\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-4adc8c45b73d97c997db1b8d065f32a8_l3.png "Rendered by QuickLaTeX.com")
, z2 =
![\[4\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-3c0fa656ae249b0b1e03c8cd2e7be583_l3.png "Rendered by QuickLaTeX.com")
Distance xy =
![\[\sqrt{[{{\left( 1\text{ -}\text{ }\left( -1 \right) \right)}^{2}}~+\text{ }{{\left( -3\text{ }\text{- }3 \right)}^{2}}~+\text{ }{{\left( 4\text{ -}\text{ }\left( -4 \right) \right)}^{2}}]}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-75c164a1cf574289d650c9214899854a_l3.png "Rendered by QuickLaTeX.com")
=
![\[\sqrt{[{{\left( 2 \right)}^{2}}~+\text{ }{{\left( -6 \right)}^{2}}~+\text{ }{{\left( 8 \right)}^{2}}]}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-4e40420bb4d8c60e4b471bf9d0a12579_l3.png "Rendered by QuickLaTeX.com")
=
![\[\sqrt{\left[ 4\text{ }+\text{ }36\text{ }+\text{ }64 \right]}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-e46dc9c00f4d8408b19bb77bd7bb9cd8_l3.png "Rendered by QuickLaTeX.com")
=
![\[\sqrt{104}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-638572151e9b6ad72b4d6647b8c3600b_l3.png "Rendered by QuickLaTeX.com")
=
![\[2\sqrt{26}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-8840f69d1115df4c6c849368ab50db1c_l3.png "Rendered by QuickLaTeX.com")
∴ The distance is
units.