Vector Pointing 01F795

1. **Problem Statement:** We need to find the point to which the vector $\frac{1}{4} \overrightarrow{OA} + \frac{3}{4} \overrightarrow{OB}$ points. 2. **Understanding the vectors:** $\overrightarrow{OA}$ is the vector from point $O$ to point $A$, and $\overrightarrow{OB}$ is the vector from point $O$ to point $B$. 3. **Vector combination:** The vector $\frac{1}{4} \overrightarrow{OA} + \frac{3}{4} \overrightarrow{OB}$ is a weighted average of $\overrightarrow{OA}$ and $\overrightarrow{OB}$ with weights $\frac{1}{4}$ and $\frac{3}{4}$ respectively. 4. **Geometric interpretation:** This means the resulting vector points to a point on the line segment joining $A$ and $B$, dividing it in the ratio $1:3$ starting from $A$ towards $B$. 5. **Conclusion:** The vector points to the point $Q$ which lies on segment $AB$ such that $AQ:QB = 1:3$. **Final answer:** The vector $\frac{1}{4} \overrightarrow{OA} + \frac{3}{4} \overrightarrow{OB}$ points to point $Q$ on segment $AB$.