Mathematics Linear Combination of Vectors

Linear Combination of Vectors :

A vector `vec(r)` is said to be a linear combination of the vectors `vec(a),vec(b),vec(c).`..............

if `EE` scalars `x,y,z`, ........ such that `vec(r) =x vec(a)+yvec(b)+zvec(c)+`.................

`text(Theorem in plane :)`

If `vec(a)` and `vec(b)` are two non zero non collinear vetors then any vector
`vec(r)` coplanar with them can be expressed as a linear combination

`vec(r) =x vec(a)+yvec(b)` (Explain using a sketch)

 
SiteLock