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Topic: how do i prove the following?
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Posts: 4
Registered: 12/10/04
how do i prove the following?
Posted: Mar 13, 2004 12:30 AM
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ABC is a given triangle. The center of the circle through A, B and C
is O. Relative to O, the position vectors of A,B, C are vector a,
vector b and vector c. If H is the point with position vector a + b +
c, prove that Vector AH, Vector BH and Vector CH are perpendicular to
Vector BC, Vector CA, Vector AB respectively. If A’, B’, C’ are the
midpoints of vector BC, vector CA, vector AB respectively, prove that
Vector AA’, Vector BB’, and Vector CC are concurrent in G and find the
position vector of G. Prove that O, G, H lie on a straight line.

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