A line l is passing through the point `vecb` and is parallel to vector `vecc`. Determine the distance of point A(`veca)` from the line l in from `|vecb-veca+((veca-vecb)vecc)/(|vecc|^(2))vecc|or (|(vecb-veca)xxvecc|)/(|vecc|)`

Explanation

AM = `|vec(AB)sin theta, ` where `theta` is the angle between `vec(AB) and vecc`
`and sin theta = (|vec(AB)xxvecc|)/(|vec(AB) |vecc|)`
`Rightarrow AM = |vec(AB)|(|vec(AB)xxvecc|)/(|vecAB||vecc|)=(|(vecb-veca)xxvecc|)/(|vecc|)`
Also , `vec(BM) = ((veca -vecb) . vecc) /(|vecc|) vecc/(|vecc|)`
And `vec(AM) =vec(AB) =vec(BM)`
`Rightarrow |vec(AM)|=b|vecb-veca+((veca-vecb)vecc)/(|vecc|^(2))vecc|`