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Permutation Symbols and Epsilon Values

Permutation Symbols and Epsilon Values

Assessment

Interactive Video

Physics

10th - 12th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains the permutation symbol represented by Epsilon i j k, detailing its definition and the values it can take. It covers the concept of free indices and calculates the total combinations possible. The tutorial distinguishes between even and odd permutations, explaining the conditions under which Epsilon i j k takes values of 1, -1, or 0. It also discusses terms that result in a zero value when indices are equal.

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the permutation symbol represented by?

Alpha i j k

Gamma i j k

Epsilon i j k

Beta i j k

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many free indices are there in the permutation symbol?

4

3

2

1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many total combinations are possible with the indices i, j, k?

27

9

36

18

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What value does the permutation symbol take for an even permutation?

0

1

-1

2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What value does the permutation symbol take for an odd permutation?

-1

1

2

0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an example of an even permutation?

Epsilon 1 3 2

Epsilon 2 3 1

Epsilon 3 2 1

Epsilon 1 1 2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many terms are even permutations?

3

2

1

4

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