Tutorial - Finding the absolute value of a complex number ex 3, (-1 - 6i)

Tutorial - Finding the absolute value of a complex number ex 3, (-1 - 6i)

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the absolute value of a complex number. It begins by introducing the formula for the absolute value of a complex number, A + Bi, which is the square root of the sum of the squares of its real and imaginary parts. The instructor identifies the real part (A) and the imaginary part (B) of the given complex number, then demonstrates the calculation of the absolute value using these components. The tutorial concludes with the final result of the calculation, providing a clear understanding of the process.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for finding the absolute value of a complex number?

A^2 - B^2

sqrt(A^2 + B^2)

A^2 + B^2

A + B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the complex number A + Bi, what are the values of A and B in this example?

A = 6, B = 1

A = -1, B = -6

A = -6, B = -1

A = 1, B = 6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed after identifying A and B to find the absolute value?

Multiplication

Subtraction

Addition

Square root

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of squaring -1 in the calculation?

2

0

-1

1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final absolute value of the complex number in this example?

sqrt(38)

sqrt(37)

sqrt(36)

sqrt(35)