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Let p be the position vector of orthocen...

Let p be the position vector of orthocentre and g is the position vector of the centroid of `DeltaABC`, where circumcentre is the origin. If `p=kg`, then the value of k is

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The correct Answer is:
3

Here, O is circum centre=0, G is centroid=g
H is orthocentre=p
since, `(OG)/(GH)=(1)/(2)`
`implies (g)/(p-g)=(1)/(2)implies2g=p-g`
or `p=3g`
`thereforek=3`.
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