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If {O} is the origin and if the coordinates of any two points

Question

If $O$ is the origin and if the coordinates of any two points $Q_{1} a n d Q_{2}$ are $(x_{1}, y_{1}) a n d (x_{2}, y_{2}),$ respectively, prove that $O Q_{1} \dot{O} Q_{2} cos ∠ Q_{1} O Q_{2} = x_{1} x_{2} + y_{1} y_{2} ˙$

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O

is the origin and if the coordinates of any two points

Q_{1} a n d Q_{2}

are

(x_{1}, y_{1}) a n d (x_{2}, y_{2}),

respectively, prove that

O Q_{1} \dot{O} Q_{2} cos ∠ Q_{1} O Q_{2} = x_{1} x_{2} + y_{1} y_{2} ˙

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Question Text

O

is the origin and if the coordinates of any two points

Q_{1} a n d Q_{2}

are

(x_{1}, y_{1}) a n d (x_{2}, y_{2}),

respectively, prove that

O Q_{1} \dot{O} Q_{2} cos ∠ Q_{1} O Q_{2} = x_{1} x_{2} + y_{1} y_{2} ˙

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