# Category:Point dividing Line Segment between Two Points in Given Ratio

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This category contains pages concerning **Point dividing Line Segment between Two Points in Given Ratio**:

Let $A$ and $B$ be points whose position vectors relative to an origin $O$ of a Euclidean space are $\mathbf a$ and $\mathbf b$.

Let $\mathbf r$ be the position vector of a point $R$ on $AB$ which divides $AB$ in the ratio $m : n$.

Then:

- $\mathbf r = \dfrac {n \mathbf a + m \mathbf b} {m + n}$

## Pages in category "Point dividing Line Segment between Two Points in Given Ratio"

The following 3 pages are in this category, out of 3 total.