anonymous
  • anonymous
Please someone help me to do the second part of the question below. If O is any point within triangle ABC and P, Q, R are midpoints of the sides AB, BC, CA respectively. i)Prove that vectorOA+vectorOB+vectorOC=vectorOP+vectorOQ+vectorOR ii)Does the result hold if O is any point outside the triangle? Prove your result.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Assume O to be the center ... now you have OP + OQ + OR = (OC + CP) + (OA + AQ) + (OB + BR) .. Vector addition Hence = (OC+ OA + OB) + (CP + AQ + BR) = (OC + OA + OB) + 0.5*(CB + AC + BA) Now CB + AC+ BA = 0 (it forms a triangle). Hence = OC + OA + OB.. hence proved 2) Just workout the same equation from outside the triangle to find...
anonymous
  • anonymous
you mean that there is no difference even the point is outside the triangle.
anonymous
  • anonymous
Shaan pls help

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anonymous
  • anonymous
Yes it won't make any difference..
anonymous
  • anonymous
Thanx a lot.

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