Tensory calculation, solve individual work.

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4 USD

Project translated automatically. Log in or register, to view the original You need to do individual work.The task below.The option with the input data will be added after the bet.I can also download the methodology completely for tasks.1 .The vectors a, b, c are assigned in the rectangular decartal system with coordinates (i1, i2, i3).Find out : a) angles that form vectors a, b, c with eight coordinates; b) the corner between vectors m and n where m a (b c ) , n (a b ) c ; c) the projections of vector a to the directions of vectors b, c.  The 2ndMake sure that the vectors a, b, c form the base in  the three-dimensional space and find the coordinates of the vector d in this base.3 .The task base (e1, e2, e3) , whose vectors are expressed through orts Direct corner decarted system coordinates (i1,i2,i3).Determine the: a) the right or left coordinate system forms the base (e1, e2, e3); b) the vectors of the mutual base e1, e2, e3.(c) the volumes of parallel pipes built on the vectors of the main and mutual bases.c) the co-variant and countervariant components of the vector a.and 4.In the base (e1, e2, e3) to find countervariant components  the metric tensor, as well as the corner between vectors a, b.and 5.In the base (e1, e2, e3) of the three-dimensional space is set a co-variant   Tensors G and vectors a, b.Find out : a) the countervariant components of g ij Tenzor G.b) results a b (scale), a b ( vector), the corner between vectors  a,b;d) co-variant components of vectors a,b.6 .For the coordinate system (q1, q2, q3) , linked to the decartal coordinates (x1, x2, x3) by the specified proportions, find: a) the vector of the local base (e1, e2, e3) ; (b) the lengths of the basic vectors and the corner between them; c) Covariant and countervariant components of the metric The Tenzor.  7 .Convert the coordinates of vectors a, b to the cylindrical and spherical coordinates.

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Iryna Kaminkova

219 4

Projects 237
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Rating 4 526

Budget: 800 UAH Deadline: 3 days

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Dmitro Popoylik
Ivano-Frankovsk, Ukraine

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Rating 45