Given: The vertices of a triangle are \[A\text{ }\left( 1,\text{ }2,\text{ }3 \right),\text{ }B\text{ }\left( 0,\text{ }4,\text{ }1 \right),\text{ }C\text{ }\left( -1,\text{ }-1,\text{ }-3 \right)\]...

Given: The mid-points of the sides of a triangle \[ABC\] is given as \[\left( -2,\text{ }3,\text{ }5 \right),\text{ }\left( 4,\text{ }-1,\text{ }7 \right)\text{ }and\text{ }\left( 6,\text{ }5,\text{...

Given: The points \[\left( 2,\text{ }-1,\text{ }3 \right)\text{ }and\text{ }\left( -1,\text{ }2,\text{ }1 \right)\] By using the section formula, Let \[C\left( x,\text{ }y,\text{ }z \right)\]be any...

Given: The points \[\left( 2,\text{ }4,\text{ }5 \right)\text{ }and\text{ }\left( 3,\text{ }5,\text{ }4 \right)\] By using the section formula, We know X coordinate is always 0 on yz-plane So, let...

Given: The points \[A\text{ }\left( 2,\text{ }3,\text{ }4 \right),\text{ }B\text{ }\left( -1,\text{ }2,\text{ }-3 \right)\text{ }and\text{ }C\text{ }\left( -4,\text{ }1,\text{ }-10 \right)\] By...

Given: The points \[A\text{ }\left( 2,\text{ }-3,\text{ }4 \right)\text{ }and\text{ }B\text{ }\left( 8,\text{ }0,\text{ }10 \right)\] By using the section formula, Let Point \[C\left( x,\text{...

Given: The vertices of the triangle are \[A\text{ }\left( 5,\text{ }4,\text{ }6 \right),\text{ }B\text{ }\left( 1,\text{ }-1,\text{ }3 \right)\text{ }and\text{ }C\text{ }\left( 4,\text{ }3,\text{ }2...