If `vec(a), vec(b) ,vec(c)` are position vectors of three non-collinear points `A, B, C` respectively, the shortest

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Q 2211001820.     If `vec(a), vec(b) ,vec(c)` are position vectors of three non-collinear points

`A, B, C` respectively, the shortest distance from `A` to `BC` is
A

`vec(a) * | vec(b) - vec(c) | vec(a)`

B

`sqrt ( | vec(b) - vec(a)|^2 - {(vec(a) * vec(b))/vec(c) }^2 )`

C

`| vec(b) - vec(a) |`

D

None of these

HINT


Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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