If the line segment joining the points \( P\left(x_{1}, y_{1}\right) \) and \( Q\left(x_{2}, y_{...
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0If the line segment joining the points \( P\left(x_{1}, y_{1}\right) \) and \( Q\left(x_{2}, y_{2}\right) \) subtends an angle \( \alpha \) at the origin \( O \), prove that: \( O P \cdot O Q \cos \alpha=x_{1} x_{2}+y_{1} y_{2} \)
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