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Vectors and Collinearity
Diagram Description
Points and vectors
Points P, Q, and R have position vectors \( \vec{p} \), \( \vec{q} \), and \( \vec{r} \) respectively. It is given that \( \vec{r} = \vec{p} + 2(\vec{q} - \vec{p}) \).
| Point | Position Vector |
|---|---|
| P | \( \vec{p} \) |
| Q | \( \vec{q} \) |
| R | \( \vec{r} \) |
- a[4]
Show That points P, Q, and R are collinear.
Aim for approximately 4 distinct marking points.
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Maths method check
- Topic focus: Vector geometry.
- Question style: structured_mathematics.
- Reasoning demand: reasoning.
- Check the operation, notation, units, and final answer form against the question before moving on.
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