Position Vector

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The position vector of point P(3, 4, 5) is

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1. **Definition**: The position vector $\vec{OP}$ of a point $P(x, y, z)$ is the vector directed from the origin $(0,0,0)$ to the point.
2. **Component Form**: It is represented by using the coordinates as coefficients for unit vectors $\hat{i}, \hat{j}, \hat{k}$.
3. **Application**: For $P(3, 4, 5)$, the vector is **$3\hat{i} + 4\hat{j} + 5\hat{k}$**.

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Position Vector

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