Homework Answers
Add Answer to:
4. You saw in class how the curl of a vector can be expressed using the...
Using Cartesian tensor notation and the fact that we can write the curl operator in the...
Using Cartesian tensor notation and the fact that we can write the curl operator in the form: (vxA), = eijk BKI where Eijk is the Levi-Civita tensor, and the relationship: Ekijeklm = dilim - Sim Oil prove Greens' vector identity: 02(A. B) = A -12B – B-02Ã+20. [(B.V)X + B ® (V x A)] where A and B are vector functions. [8 marks]
first picture is the notation on the test paper Second picture is the question i would...
first picture is the notation on the test paper
Second picture is the question i would like to solve
thanks~
Notation and convention: r x +y The distance from the origin to the point r [x,y,z] + ê: The unit vector along the direction of r-[x, y,z] (a.e,6)-i.j.):m :The orthonormal bases of a Cartesian coordinate system. for dummy indices Einstein convention: Omitting the summation notation (repeated indices). Examples:ab,-a b, ab a b Notice: No dummy index is allowed to be...
Problem 3 [35 pts): Potential energy can be expressed using the following equation: E=m*g*h (1) Where:...
Problem 3 [35 pts): Potential energy can be expressed using the following equation: E=m*g*h (1) Where: . E is the potential energy, . m is the object mass, . g is the gravitational acceleration, and • his height For the sake of this exercise you can assume that all units match and you don't need any conversions. Your task is to write a Matlab function called calculateEnergies which accepts the following as input parameters/argument (assume all vectors are of the...
linear algebra Let V (71, 72, 3}, where 71 73=(2,0,3). (1,3,-1), 2 = (0, 1,4), and...
linear algebra
Let V (71, 72, 3}, where 71 73=(2,0,3). (1,3,-1), 2 = (0, 1,4), and (a) Prove: V is a basis. (b) Find the coordinates of (b, b2, bs) with respect to V = {71, U2, 3,}. (c) Suppose M and M' are matrices whose columns span the same vector space V. Let b be the coordinates of relative to M. Write a matrix equation that gives b', the coordinates of relative to M'. (Your answer should be a...
Q 9 to 12 on matlab Create the following matrix by using vector notation for creating...
Q 9
to 12 on matlab
Create the following matrix by using vector notation for creating vectors with 9 constant spacing and/or the iinspace command. Do not type individual elements explicitly 20 3 в - 4 03 Using the colon symbol, create a 4 x 6 matrix (assign it to a variable named Anine) in which all the elements are the mumber 9. 10Create the following matrix by typing one command. Do not type individual elements explicitly C o o...
please give the correct answer with explanations, thank you Als a 3 x 4 matrix with...
please give the correct answer with explanations, thank you
Als a 3 x 4 matrix with column vectors a, a, a3, 24 50 A (a a2 a3 24 If you need to refer to these column vectors in any answer use a1 a2 etc for 1, 2 etc.) A has row reduced echelon form (RREF) 1042 0 1 2 0 0 0 0 1. State the values of rank(A) Number and nullity(A) Number 2. Find a basis for the column...
The plane passing through the 3 points A(4, -2, 1), B(4, -1,4) and C(1,-4,2) can be...
The plane passing through the 3 points A(4, -2, 1), B(4, -1,4) and C(1,-4,2) can be expressed as a parametric vector equation of the form x a 1V+ 12v2 where 1 and d2 are real parameters. You are given that V1 Find suitable vectors a and V2 and enter them in the boxes below. You must enter your answers using Maple notation, for example, the vector \(\begin{pmatrix}1\2\\3\end{pmatrix} is entered as <1, 2, 3>. a = Your response Correct response No...
In this question, you will need to find the general solution to the equation [i 25...
In this question, you will need to find the general solution to the equation [i 25 0 2 3 8 -1 || *2 (1 4 9 1] | x4 in vector parametric form. The row reduced echelon form of the matrix [i 25 0 | 2 3 8 -1 | 1 4 9 1 -3 5 [1 0 1 0 1 2 | 0 0 0 0 0 1 2 -2 1 The general solution is X= y + xw,...
Activity 1-5: Breaking up Vectors into components Every vector can be thought of as two vectors...
Activity 1-5: Breaking up Vectors into components Every vector can be thought of as two vectors that add together to form a right triangle. One ve point in the horizontal direction while the other will point in the vertical. tor will Ay Dy в, While you can determine the components of vectors Ä, B, C, and D visually above since there are grid lines, you can also use trigonometry to determine the values of each component. For each vector shown...
Formulate the following problems as least-squares problems. For each problem, give a matrix A and a vector b, such that the problem can be expressed as minimize IAx-bi (You do not have to solve the p...
Formulate the following problems as least-squares problems. For each problem, give a matrix A and a vector b, such that the problem can be expressed as minimize IAx-bi (You do not have to solve the problems.) (a) Minimize x1+ 2x + 3x[+ (x,-x2 + x3-1)2 + (-ri-4x2 + 2)2. (b) Minimize (-6r2 4)43r228r2-3)2 (e) Minimize 2(-6x2+ 4)2 + 3(-4x1 +3x2-1尸+4(x1 + 8x2-3)2. 1+(-i - 4r2 +2)2
Formulate the following problems as least-squares problems. For each problem, give a matrix A...
Using Cartesian tensor notation and the fact that we can write the curl operator in the form: (vxA), = eijk BKI where Eijk is the Levi-Civita tensor, and the relationship: Ekijeklm = dilim - Sim Oil prove Greens' vector identity: 02(A. B) = A -12B – B-02Ã+20. [(B.V)X + B ® (V x A)] where A and B are vector functions. [8 marks]
first picture is the notation on the test paper
Second picture is the question i would like to solve
thanks~
Notation and convention: r x +y The distance from the origin to the point r [x,y,z] + ê: The unit vector along the direction of r-[x, y,z] (a.e,6)-i.j.):m :The orthonormal bases of a Cartesian coordinate system. for dummy indices Einstein convention: Omitting the summation notation (repeated indices). Examples:ab,-a b, ab a b Notice: No dummy index is allowed to be...
Problem 3 [35 pts): Potential energy can be expressed using the following equation: E=m*g*h (1) Where: . E is the potential energy, . m is the object mass, . g is the gravitational acceleration, and • his height For the sake of this exercise you can assume that all units match and you don't need any conversions. Your task is to write a Matlab function called calculateEnergies which accepts the following as input parameters/argument (assume all vectors are of the...
linear algebra
Let V (71, 72, 3}, where 71 73=(2,0,3). (1,3,-1), 2 = (0, 1,4), and (a) Prove: V is a basis. (b) Find the coordinates of (b, b2, bs) with respect to V = {71, U2, 3,}. (c) Suppose M and M' are matrices whose columns span the same vector space V. Let b be the coordinates of relative to M. Write a matrix equation that gives b', the coordinates of relative to M'. (Your answer should be a...
Q 9
to 12 on matlab
Create the following matrix by using vector notation for creating vectors with 9 constant spacing and/or the iinspace command. Do not type individual elements explicitly 20 3 в - 4 03 Using the colon symbol, create a 4 x 6 matrix (assign it to a variable named Anine) in which all the elements are the mumber 9. 10Create the following matrix by typing one command. Do not type individual elements explicitly C o o...
please give the correct answer with explanations, thank you
Als a 3 x 4 matrix with column vectors a, a, a3, 24 50 A (a a2 a3 24 If you need to refer to these column vectors in any answer use a1 a2 etc for 1, 2 etc.) A has row reduced echelon form (RREF) 1042 0 1 2 0 0 0 0 1. State the values of rank(A) Number and nullity(A) Number 2. Find a basis for the column...
The plane passing through the 3 points A(4, -2, 1), B(4, -1,4) and C(1,-4,2) can be expressed as a parametric vector equation of the form x a 1V+ 12v2 where 1 and d2 are real parameters. You are given that V1 Find suitable vectors a and V2 and enter them in the boxes below. You must enter your answers using Maple notation, for example, the vector \(\begin{pmatrix}1\2\\3\end{pmatrix} is entered as <1, 2, 3>. a = Your response Correct response No...
In this question, you will need to find the general solution to the equation [i 25 0 2 3 8 -1 || *2 (1 4 9 1] | x4 in vector parametric form. The row reduced echelon form of the matrix [i 25 0 | 2 3 8 -1 | 1 4 9 1 -3 5 [1 0 1 0 1 2 | 0 0 0 0 0 1 2 -2 1 The general solution is X= y + xw,...
Activity 1-5: Breaking up Vectors into components Every vector can be thought of as two vectors that add together to form a right triangle. One ve point in the horizontal direction while the other will point in the vertical. tor will Ay Dy в, While you can determine the components of vectors Ä, B, C, and D visually above since there are grid lines, you can also use trigonometry to determine the values of each component. For each vector shown...
Formulate the following problems as least-squares problems. For each problem, give a matrix A and a vector b, such that the problem can be expressed as minimize IAx-bi (You do not have to solve the problems.) (a) Minimize x1+ 2x + 3x[+ (x,-x2 + x3-1)2 + (-ri-4x2 + 2)2. (b) Minimize (-6r2 4)43r228r2-3)2 (e) Minimize 2(-6x2+ 4)2 + 3(-4x1 +3x2-1尸+4(x1 + 8x2-3)2. 1+(-i - 4r2 +2)2
Formulate the following problems as least-squares problems. For each problem, give a matrix A...
Most questions answered within 3 hours.
-
The focal length of a makeup (concave) mirror is 0.48 m. What
magnification does this mirror...
asked 40 seconds ago -
TRUE/FALSE
Long-lived assets that are tangible in nature, used in the
operations of the business, and...
asked 1 minute ago -
A dragon biologist is setting up an experimental population of
1000 individuals. In dragons, pointy crests...
asked 12 minutes ago -
A uniform thin rod of length 0.851 m is hung from a horizontal
nail passing through...
asked 22 minutes ago -
A 747 has a cruising speed of 235 m/s at a height of 10,700
meters. The...
asked 30 minutes ago -
Part 3: Arrows
Write a python program that prompts the user for a number of
columns,...
asked 38 minutes ago -
Need help answering these questions!!
1. What economic concept do you find most interesting in
Macroeconomics?...
asked 42 minutes ago -
1. Nimbus, Inc. produces and sells brooms. This table shows the
relationship between the number of...
asked 45 minutes ago -
A gas occupies 200. mL in a piston. If the pressure of the
piston were decreased...
asked 1 hour ago -
A fossil is found to have a 14C level of 71.0% compared to
living organisms. How...
asked 1 hour ago -
Many communist or socialist countries have a department that
addresses public health as well as the...
asked 1 hour ago -
the following questions are either true or false answers
1. The Central Limit Theorem allows one...
asked 1 hour ago