Euler rotation vector

hrr379

Calculate the Euler rotation vector for Eurasia relative to North
America. The rotation vectors for Eurasia and North America relative
to the Pacific are _pacω_eur = [0.000529,-0.007235, 0.013123] and
_pacω_NA = [0.001768 -0.008439 0.009817]. Also, give the latitude and longitude of the pole of relative rotation

I was hoping if someone is kind enough to show me how to calculate latitude and longitude of the pole of relative rotation. Thanking for whoever helps a damsel in distress.