Mathematics, 08.08.2019 02:30 carolinehodges
So o(n) is the disjoint union of the subsets o(n)+ and o( the important subgroup so(n) o(n)+ o(n) is the n x n special orthogonal group. one of the main reasons for the study of the orthogonal groups o(n) and so(n) is their relationship with isometries, where an isometry of rt is a distance-preserving bijection f: rnr", i. e., lf(x) - f(y)l x-yl (x, y e r"). 4.7. the group of unit quaternions has an r-linear action on h given by a) by identifying h with r4 using the basis [i, j, k,1), show that this defines a lie homomorphism sp(1)so(4) b) show that this action restricts to an action of sp(1) on the space of pure quaternions and by identifying this with r3 using the ba- sis fi, j, k, show that this defines a surjective lie homomorphisrm a: sp(1)- s0(3) . show that ker ? (1-1)
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Abe is a triangle. can you use the sss postulate or the sas postulate to prove triangle abc = triangle aed? by sss only neither apply both apply by sas only
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Parks is wearing several rubber bracelets one third of the bracelets are tie dye 1/6 are blue and 1/3 of the remainder are camouflage if park swears to camouflage bracelets how many bracelets does he have on
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So o(n) is the disjoint union of the subsets o(n)+ and o( the important subgroup so(n) o(n)+ o(n) is...
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