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, Ã— * *is
perpendicular to the plane. So * *is perpendicular to * *Ã— . 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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