1.

If OAB is a tetrahedronwith edges and hatp, hatq, hatr are unit vectors along bisectors of vec(OA), vec(OB):vec(OB), vec(OC):vec(OC), vec(OA) respectively and hata=(vec(OA))/(|vec(OA)|), vecb=(vec(OB))/(|vec(OB)|), vec c= (vec(OC))/(|vec(OC)|), then :

Answer»

`([hata HATB hatc])/([hatp hatq HATR])=(3sqrt(3))/(2)`
`([hata+hatb" "hatb+hatc" "hatc +hata])/([hatp+hatq" "hatq+hatr" "hatr+hatp])=(3sqrt(3))/(4)`
`([hata+hatb" "hatb+hatc" "hatc+hata])/([hatp hatq hatr])=(3sqrt(3))/(2)`
`([hata hatb hatc])/([hatp +hatq" "hatq+hatr" "hatr+hatp])=(3sqrt(3))/(4)`

Answer :A::D


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