Vector operators

Expert Solution

Colby Messinger answered 9 months ago

A set of “spherical vector” operators ?? (? = ±1,0) is defined by its commutation relations...

A set of “spherical vector” operators ?? (? = ±1,0) is defined by its commutation relations with a set of angular momentum operators: [?? , ??] = ℏ??? [?±,??] = ℏ√((1 − ?)(2 ± ?)) ??±1 Could ?± and ?? be considered a set of spherical vector operators themselves, when scaled by some appropriate constants? If no, demonstrate which commutation relation they fail to satisfy. If yes, write ?1,?0, ?−1 in terms of the angular momentum operators, and show that...

Not all operators are commutative, namely, ab = ba. Consider functions under the operators addition, subtraction,...

Not all operators are commutative, namely, a*b = b*a. Consider functions under the operators addition, subtraction, multiplication, division, and composition. Pick two of the functions and use a grapher (like Desmos) to graph the functions under the operators. If the functions are commutative under the operator, the graphs should be identical (overlap everywhere) when you change the order in which the functions are entered with the operator. Determine which operators seem to the commutative and which operators seem not to...

Relational Operators For Cpp Discuss why relational operators can be used with enumeration types. Provide at...

Relational Operators For Cpp Discuss why relational operators can be used with enumeration types. Provide at least 2 examples of relational expressions with enumeration types. Explain your examples

if two parallel planes, vector n1* vector x = a, vector n2* vector x = b....

if two parallel planes, vector n1* vector x = a, vector n2* vector x = b. How to describe their distance?

Data Encryption (Strings and Bitwise Operators) Write a C program that uses bitwise operators (e.g. bitwise...

Data Encryption (Strings and Bitwise Operators) Write a C program that uses bitwise operators (e.g. bitwise XOR) to encrypt/decrypt a message. The program will prompt the user to select one of the following menu options: 1. Enter and encrypt a message 2. View encrypted message 3. Decrypt and view the message (NOTE: password protected) 4. Exit If the user selects option 1, he/she will be prompted to enter a message (a string up to 50 characters long). The program will...

Verify using an example that vector a + (vector b * vector c) is not equal...

Verify using an example that vector a + (vector b * vector c) is not equal to (vector a + vector b) * (vector a + vector c) explain the problem that arrises

Consider the following regular expression meta operators: ( ) [ ] { } . * +...

Consider the following regular expression meta operators: ( ) [ ] { } . * + ? ^ $ | \ For each of the following, give one example of strings which the regular expression would match. Describe (colloquially, in a manner that a non-technical person would understand) the set of strings that the pattern is designed to match. Each regular expression is enclosed in the pair of '/' characters below. [2 marks each] (a) /^[a-z][0-9]*\.$/ (b) /([0-9]+)\s\w+\s\1/

For a position vector d=(-7.1i+-0.1j)m, determine the x-component of the unit vector. For a position vector...

For a position vector d=(-7.1i+-0.1j)m, determine the x-component of the unit vector. For a position vector d=(-7.1i+-0.1j)m, determine the y-component of the unit vector. The direction of a 454.7 lb force is defined by the unit vector u1=cos(30°)i+sin(30°)j. Determine the x-component of the force vector.

Vector Analysis

Compute the vector line integral $ \int F.dr $ , where $ F $ and C are as indicated. (a). $ F(x,y)=(siny,x) $ ; C : $ r(t)=(t^2-1,t),t\in [o,\pi] $ (b). $ F(x,y)=(x,y+1) $ ; C : $ r(t)=(1-sint,1-cost),t\in [0,2\pi] $

Vector Analysis

Determine the map $ g\in C^\infty $ with $ g(0)=0 $ that makes the vector field. $ F(x,y)=(ysinx+xycosx+e^y)i+(g(x)+xe^y)j $ conservative. Find a potential for the resulting $ F $ .

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Vector operators

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A set of “spherical vector” operators ?? (? = ±1,0) is defined by its commutation relations...

Not all operators are commutative, namely, ab = ba. Consider functions under the operators addition, subtraction,...

Relational Operators For Cpp Discuss why relational operators can be used with enumeration types. Provide at...

if two parallel planes, vector n1* vector x = a, vector n2* vector x = b....

Data Encryption (Strings and Bitwise Operators) Write a C program that uses bitwise operators (e.g. bitwise...

Verify using an example that vector a + (vector b * vector c) is not equal...

Consider the following regular expression meta operators: ( ) [ ] { } . * +...

For a position vector d=(-7.1i+-0.1j)m, determine the x-component of the unit vector. For a position vector...

Vector Analysis

Vector Analysis