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Chapter: 12th Mathematics : UNIT 6 : Applications of Vector Algebra

Condition for coplanarity of two lines

Condition for coplanarity of two lines : (a) Condition in vector form (b) Condition in Cartesian form

Condition for coplanarity of two lines


(a) Condition in vector form

The  two  given non-parallel lines  are  coplanar. So they lie in a single plane. Let A and C be the points whose position vectors are  and  . Then A and C lie on the plane. Since  and are parallel to the plane,  √ó  is perpendicular to the plane. So  is perpendicular to  √ó . That is,


This is the required condition for coplanarity of two lines in vector form.


(b) Condition in Cartesian form


This is the required condition for coplanarity of two lines in Cartesian form.

 

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12th Mathematics : UNIT 6 : Applications of Vector Algebra : Condition for coplanarity of two lines |

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12th Mathematics : UNIT 6 : Applications of Vector Algebra


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