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Type: Multiple-Choice
Category: Complex Numbers
Level: Grade 11
Standards: HSN-CN.B.5
Author: nsharp1
Created: 5 years ago

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Complex Numbers Question

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Grade 11 Complex Numbers CCSS: HSN-CN.B.5

One method for adding or subtracting complex numbers in the complex plane is to look at the numbers as vectors, and then add or subtract these vectors as is done with vectors in the real plane. A vector is defined as something having both a direction and a magnitude. Why can complex numbers in the complex plane be represented as vectors? Choose all correct answers.
  1. They can't really, but it's a useful tool to use when adding or subtracting.
  2. Because, as seen in polar form, they have a magnitude, r, and direction, θ.
  3. Because they are represented by two "coordinates", a real and imaginary value, which is similar to the component form of a vector.
  4. Because complex numbers and vectors are identical.