- #1
zorro
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The problem
Can anyone explain me a step given in my book?
This is actually the derivation of the distance between orthocentre and circumcentre of a triangle using vectors.
ABC is a triangle.
S is the circumcentre and H is the orthocentre.
[tex]\vec{SA}[/tex] + [tex]\vec{SB}[/tex] + [tex]\vec{SC}[/tex] = [tex]\vec{SA}[/tex] + 2[tex]\vec{SD}[/tex]
=[tex]\vec{SA}[/tex] + [tex]\vec{AH}[/tex]
I just want to find out how 2[tex]\vec{SD}[/tex] = [tex]\vec{AH}[/tex]
Can anyone explain me a step given in my book?
This is actually the derivation of the distance between orthocentre and circumcentre of a triangle using vectors.
ABC is a triangle.
S is the circumcentre and H is the orthocentre.
[tex]\vec{SA}[/tex] + [tex]\vec{SB}[/tex] + [tex]\vec{SC}[/tex] = [tex]\vec{SA}[/tex] + 2[tex]\vec{SD}[/tex]
=[tex]\vec{SA}[/tex] + [tex]\vec{AH}[/tex]
I just want to find out how 2[tex]\vec{SD}[/tex] = [tex]\vec{AH}[/tex]