To determine which of these rays are opposites, we need to understand the definition of opposite rays. Two rays are considered to be opposite rays if they share the same initial point (the starting point) and extend in exactly opposite directions.
Let's analyze the pairs provided:
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vec QR and vec QT: If point Q is the starting point, these rays extend in different directions from Q toward points R and T. They are not opposite unless R and T are collinear, which isn't specified.
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vec QR and vec QP: Similar to above, if we assume Q is the starting point, these two rays would extend towards points R and P respectively and are not generally opposite.
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overline R 5 and vec QP: These refer to different objects. "Overline R 5" likely indicates the segment connecting points R and 5, and "vec QP" is a ray. Since they are different types (segment vs ray), they cannot be opposite.
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vec Q_{5} and vec QT: Without further information about the positions of Q, 5, and T, we can't determine if these are opposite rays.
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vec QP and vec QT: As with the previous cases, if Q is the common initial point, these rays are directing towards points P and T and are not systematically opposite.
Since none of these pairs can be definitively concluded as opposite rays without additional context on the geometry (such as the positions of points R, P, T, and 5), none of the provided rays can be directly identified as opposite rays based purely on the information given.
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