Answer
Since $\overrightarrow {AB} $ and $\overrightarrow {PQ} $ have the same components, they are equivalent.
Work Step by Step
We have $A = \left( {1,1} \right)$ and $B = \left( {3,7} \right)$. So, $\overrightarrow {AB} = \left( {3,7} \right) - \left( {1,1} \right) = \left( {2,6} \right)$.
We have $P = \left( {4, - 1} \right)$ and $Q = \left( {6,5} \right)$. So, $\overrightarrow {PQ} = \left( {6,5} \right) - \left( {4, - 1} \right) = \left( {2,6} \right)$.
Since $\overrightarrow {AB} $ and $\overrightarrow {PQ} $ have the same components, they are equivalent.
