Let the given three vectors be vector a, b and c. When we are able to write one vector as a linear combination of the other two vectors, then the given vectors are called coplanar vectors.
(i) Let vector a = m vector b + n vector c where
(i.e.) vector a = i - 2j + 3k
n = 1/2
∴ We are able to write one vector as a linear combination of the other two
The given vectors are coplanar.
(ii) Let the given vectors be a, b and c.
Let
We are able to write vector a as a linear combination of vector (b and c)
∴ The vectors (a, b, c) are coplanar
