Coplanarity
Vector of Class 12
Coplanarity
A given set of vectors is said to be co-planar if their line segments are all parallel to the same plane.
(a) If any one vector out of three non-zero vectors 
can be expressed as a linear combination of the other two is i.e. say 
then they are coplanar
(b) Four points with position vectors 
will be coplanar if there exist four scalers x, y, z and w not all zero such that 
and x + y + z + ω = 0
Geometrically it implies that the lines joining any two points intersect the line joining the other two points somewhere in space.
- Introduction
- Linearly independent and dependent vectors
- Collinearity
- Coplanarity
- Scalar or Dot Product
- Vector or Cross Product
- Scalar Triple Product
- Vector Triple Product
- Scalar and Vector Product of Four Vectors
- Reciprocal System of Vector
- Application of Vectors to Geometry
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
