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The length of the perpendicular form ...

The length of the perpendicular form the origin to the plane passing through the point `a` and containing the line ` vec r= vec b+lambda vec c` is a. `([ vec a vec b vec c])/(| vec axx vec b+ vec bxx vec c+ vec cxx vec a|)` b. `([ vec a vec b vec c])/(| vec axx vec b+ vec bxx vec c|)` c. `([ vec a vec b vec c])/(| vec bxx vec c+ vec cxx vec a|)` d. `([ vec a vec b vec c])/(| vec cxx vec a+ vec axx vec b|)`

A

`([vecavecbvecc])/([vecaxxvecb+ vecbxx vecc+vecc xx veca])`

B

`([vecavecbvecc])/([vecaxxvecb+ vecbxx vecc])`

C

`([vecavecbvecc])/([vecb xx vecc+ veccxx veca])`

D

`([vecavecbvecc])/([vecc xx veca+ vecaxx vecb])`

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The correct Answer is:
C
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