Consider w1 = -3i and w2 = -2. What is the result of subtracting w2 from w1?
Answer (2)
The result of subtracting w2 from w1, where w1 = -3i and w2 = -2, is 2 - 3i. This combines the real part 2 and the imaginary part -3i into a single complex number. Therefore, the final answer is a new complex number represented as 2 - 3i.
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To solve the problem of subtracting one complex number from another, we'll take a look at the given complex numbers and perform some basic operations.
The two complex numbers provided are: w 1 = − 3 i w 2 = − 2
Here, w 1 is a purely imaginary number, and w 2 is a real number.
The operation we need to perform is the subtraction of w 2 from w 1 . Mathematically, this can be expressed as: w 1 − w 2
Substitute in the given values: − 3 i − ( − 2 )
Subtracting a negative number is the same as adding its positive, so the expression becomes: − 3 i + 2
Therefore, the result of subtracting w 2 from w 1 is: 2 − 3 i
This result, 2 − 3 i , is a complex number consisting of a real part 2 and an imaginary part − 3 i .
In summary, the subtraction of the two complex numbers gives us a new complex number that contains both real and imaginary parts.
