If O be the origin and if \( \Large P_{1} \left(x_{1},\ y_{1}\right)\ and\ P_{2} \left(x_{2},\ y_{2}\right) \) be two points, then \( \Large \left(OP_{1} \parallel \ OP_{2} \right) \cos \left( \angle P_{1}\ OP_{2}\right) \) is equal to:

A) \( \Large x_{1}y_{2}+x_{2}y_{1} \)
B) \( \Large \left(x^{2}_{1}+x^{2}_{2}+y^{2}_{2}\right) \)

C) \( \Large \left(x_{1}-x_{2}\right)^{2}+ \left(y_{1}-y_{2}\right)^{2} \)
D) \( \Large x_{1}x_{2}+y_{1}y_{2} \)

Correct answer:
D) \( \Large x_{1}x_{2}+y_{1}y_{2} \)


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