1.

Let ABC be an acute scalene triangle, and O and H be its circumcentreand orthocentre respectively. Further let N be the midpoint of OH. The value of the vector sum vec(NA)+vec(NB)+vec(NC is

Answer»

`vec(O)`(zero VECTOR)
`vec(HO)`
`(1)/(2)vec(HO)`
`(1)/(2)vec(OH)`

Solution :CIRCUMCENTER (origin O )

`(vec(O))=((vec(a)+vec(b)+vec(C))/(3)),H=((vec(a)+vec(b)+vec(c))/(2))`
`vec(N)=(1)/(4)(veca+vec(b)+vec(c))`


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