Incenter by vector algebra


If !!ABC!! is a triangle, !!P!! is a point outside the triangle.

Then !!avecPA+bvecPB+cvecPC=(a+b+c)vecPK!! holds if K is?

  • Circumcenter
  • Centroid
  • Any point
  • None
  • Incenter


We will modify this equation and elminate P so we get !!avecPA+bvecPB+cvecPC=(a+b+c)vecPK!!


!!vecK = (avecA+bvecB+cvecC)/(a+b+c)!!

Here it is better if we remember that !!K!! is an incenter.

Though it is recommended to prove that !!K!! is an incenter.

Get it on Google Play