If c is a given non - zero scalar, and `vecA and vecB` are given non- zero , vectors such that `vecA bot vecB` . Then find vector, `vecX` which satisfies the equations `vecA.vecX =c and vecA xx vecX =vecB`.

Answer

`vecX= (vecB xx vecA=cvecA)/(vecA.vecA)`

Explanation

`vecA xx vecX =vecB`
`or (vecAxx vecX)xx vecA =vecB xx vecA`
`or (vecA.vecA)vecX- (vec X.vecA)vecA=vecB xx vecA`
`or (vecA.vecA)vecX-cvecA=vecBxxvecA`
`or vecX= (vecB xx vecA + cvecA)/((vecA.vecA))`