Find the exact value of open vertical bar, 7, minus, 9, i, close vertical bar∣7−9i∣.
Question
Find the exact value of open vertical bar, 7, minus, 9, i, close vertical bar∣7−9i∣.
Solution
The given expression is the absolute value (or modulus) of a complex number. The absolute value of a complex number a + bi is given by √(a² + b²).
Here, a = 7 and b = -9.
Step 1: Square a and b. a² = 7² = 49 b² = (-9)² = 81
Step 2: Add a² and b². 49 + 81 = 130
Step 3: Take the square root of the result. √130 ≈ 11.4
So, ∣7−9i∣ = √130 ≈ 11.4.
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