Question: Homework for Tensor calculus a = a,, +a,, + a,,, b = b, +b,, + b,,, = c,, +c,, + c,,, Calculate followings, by

Homework for Tensor calculus a = a,, +a,, + a,,, b =

Homework for Tensor calculus a = a,, +a,, + a,,, b = b, +b,, + b,,, = c,, +c,, + c,,, Calculate followings, by using (a) matrix notation and (b) tensor notation, and show the results from both (a) and (b) are identical 1. -b (dot product) 2. xb (cross product) 3. b (tensor product) 4. (bx) 5. x6 )

Step by Step Solution

★★★★★

3.39 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To solve these vector operations using matrix and tensor notation we will go through each calculatio... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Show that if A is a (20) tensor and B a (02) tensor, then Aa(Ba(?

Select any Company and get a copy of its annual report. Just write an outline of the company's annual report. The outline must contain the following: 1. Introduction 2. Background 3. Liquidity Ratios...

Identical isolated conducting spheres 1 and 2 have equal charges and are separated by a distance that is large compared with their diameters (Figure a). The electrostatic force acting on sphere 2 due...

1. Write a Scilab program that solves the following system of linear equations: 4x 2y - 3z = 5 -8x y +z= -5 2x + y + 2z = 5 ZE Display a message that "x = , y = 2. Write a Scilab program that solves...

I need help with these questions 13. In the cross (or vector) product F = qu x B we know that 9 = 1 F = -337 + -127 + -45k = - 8.07 + 7.0) + 4.0k B = Bi + B, j + BK What then is B in unit-vector...

html5/Javascript/Css homework help. //////////////////////////////////////////////////////////////////////////////////////////// Problem 1 Web site topic:Your boss has asked you to create a web site...

Need help to solve this question. Study Notes for the Concept of Rotation Matrix (3) Using different notations for the three principal axes, the position vector can also be 1. Position Vector and its...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

space weather PLEASE HELP ME use MATLAB NO REFERENCE 1.1 Free Space Maxwell's equations describe the behavior of electromagnetic fields and their interaction with mat- ter. They are one of the major...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

Joshua is a 25-year-old graduate school student who paid $15,000 in tuition and fees to an eligible educational institution in 2019.He received a Form 1098-T.Joshua works part-time at a local firm...

a. What is the electric potential at points A, B, and C in Figure P21.16? b. What is the potential energy of an electron at each of these points? c. What are the potential differences \(\Delta...

Two identical converging lenses of focal length $100 \mathrm{~mm}$ are placed $400 \mathrm{~mm}$ apart, and an object $40 \mathrm{~mm}$ tall is placed $230 \mathrm{~mm}$ to the left of the...

A $200-\mathrm{Hz}$ power source in a series $R L C$ circuit applies an AC potential difference that has an amplitude of $60 \mathrm{~V}$. The current amplitude is $1.0 \mathrm{~A}$, and the...

Figure P32.94 shows, for an AC circuit, the instantaneous current through a circuit element and the potential difference across the element. What can you determine about the element? Data from Figure...

After reconciling its bank account, Hull Equipment Company made the following adjusting entries: Required Identify the event depicted in each journal entry as asset source (AS), asset use (AU), asset...

A technique introduced by C + + 1 1 to improve runtime performance is known as a . insertion b . emplacement c . push d . multimove e . None of these

Cobb Manufacturing Company uses a process cost system and average costing. The following production data is for the month of June 2011. Production Costs Work in process, beginning of the month:...

Suppose that c 0 for x [c, d] and (x) = 0 elsewhere in [a, b], prove that R[a, b] and that Rb = a(d - c). [Given > 0 let := /4a and show that if a(d - c + 2).]

Show that the following functions belong to R*[0, 1] by finding a function Fk that is continuous on [0, 1] and such that Fk(x) = fk(x) for x [0, 1]\Ek, for some finite set Ek. (a) f1(x) := (x + 1)/x...

If A R, let A- be the intersection of all closed sets containing A, the set A- is called the closure of A. Show that A- is a closed set, that it is the smallest closed set containing A, and that a...

=+a. Calculate and interpret a 99% CI for population mean backpack weight. b. Obtain a 99% CI for population mean weight as a percentage of body weight.

=+b. Suppose the investigators had made a rough guess of .16 for the value of s before collecting data. What sample size would be necessary to obtain an interval width of .05 for a confidence level...

=+c. The American Academy of Orthopedic Surgeons recommends that backpack weight be at most 10% of body weight. What does your calculation of part (b) suggest and why?