If ` c` is a given non-zero scalar, and ` vec A` and `vec(B) ` are given non-zero vector such that ` vec A_|_ vecB ,` then find vector ` vec X` which satisfies the equation ` vec A . vec X =c and vec Axx vec X= vec Bdot`

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))`