Vector Theorem: Centroid of Triangle

Vector Theorem: Centroid of Triangle The position vectors of the vertices A, B and C of the ∆ABC are a ⃗,b ⃗ and c ⃗ resp. Prove that the position vector of its centroid is g ⃗=1⁄3 (a ⃗+b ⃗+c ⃗ ). 8. Prove vectorically that the line segment joining the mid-point of any two sides of a triangle is parallel to third side and half of the third side: https://youtu.be/ylEAyfq3Rcc

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