Finding the equation of motion, or position vector? Vector Calculus

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I have a Ferris wheel as on the link, and point A has an equation of motion, also on the diagram "r(t)". The question asks to find the position vector of B at time t, where the radii of both the wheels are the same and the distance between the centre point X is the same for both wheels. It appears like A and B will always have the same i axis number but the opposite signs, but how do I find out the correlation between the j?

Would I just use the equation of A, change the signs of the few numbers to derive the position vector of B, but if I do that, how can I check, whether or not the answer is right?

The exact question states about the diagram:

"State the position vector of Point B at time t minutes."

Thanks