Based of the distance of each star, we can conclude that Star A must have a larger proper motion than Star B.
The given parameters;
The distance of each star form a Parallax is calculated as
[tex]d = \frac{1}{p}[/tex]
Where;
d is the distance to star, [parsecs]
p is parallax, [arc seconds]
The distance of star A;
[tex]d = \frac{1}{3.4} = 0.3 \ parsecs[/tex]
The distance of start B;
[tex]d = \frac{1}{1.7} = 0.6 \ parsecs[/tex]
On average, it is known that a nearby star will have a large proper motion.
Based on the distance of each star calculated above, star A is nearer and it will have a larger proper motion that star B.
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