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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Mathematics, 21.06.2019 18:00
Determine the difference: 3.2 × 1010 – 1.1 × 1010. write your answer in scientific notation.
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Mathematics, 21.06.2019 21:20
What is the area of a triangle with vertices at (-3 3) (-3,2) and (1,2)?
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Mathematics, 21.06.2019 23:40
Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.
Answers: 2
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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