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If vec c is a given non-zero scalar, ...

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

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Verified by Experts

The correct Answer is:
`vecX= (vecB xx vecA=cvecA)/(vecA.vecA)`
`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))`
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