Let ABC be a triangle whose circumcentre is at P- If the position vectors of A- B- C and P are a- b- c- and a- - b- - c-4 respectively- then the position vector of the orthocentre of this triangle- is-

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Section Formula

Let ABC be ...

Question

Let $A B C$ be a triangle whose circumcentre is at P. If the position vectors of $A, B, C$ and P are $\to a, \to b, \to c$ and $\frac{\to a + \to b + \to c}{4}$ respectively, then the position vector of the orthocentre of this triangle, is:

- (\frac{\to a + \to b + \to c}{2})

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\to a + \to b + \to c

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\frac{(\to a + \to b + \to c)}{2}

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\to 0

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