Let a→ and b→ be the position vectors of the pointsA and B. Prove that the position vectors of thepoints which trisects the line segment AB are a→+2b→3 and b→+2a→3.

Let $\vec{a} a n d \vec{b}$
be the position vectors of the points
A and B. Prove that the position vectors of the
points which trisects the line segment AB are $\frac{\vec{a} + 2 \vec{b}}{3} a n d \frac{\vec{b} + 2 \vec{a}}{3}$ .

Match the items on the right to the items on the left.