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1. Maximum modified distance between unit quaternions ●●○○○ 20 ptsFor unit quaternions $q_1$ and $q_2$ (so $\|q_1\|=\|q_2\|=1$), define $d(q_1,q_2)=2\min(\|q_1-q_2\|,\|q_1+q_2\|)$. Find the maximum value of $d(q_1,q_2)$. Round to two decimal places.