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Popular >

simplify |9i-8j+7k|

Solution

simplify

∣ 9 i - 8 j + 7 k ∣

Solution

(- 8 j + 7 k)^{2} + 81

Solution steps

∣ 9 i - 8 j + 7 k ∣

Rewrite

9 i - 8 j + 7 k

in standard complex form:

(- 8 j + 7 k) + 9 i

= ∣ (- 8 j + 7 k) + 9 i ∣

Apply complex arithmetic rule:

∣ a + bi ∣ = a^{2} + b^{2}

∣ (- 8 j + 7 k) + 9 i ∣ = (- 8 j + 7 k)^{2} + 9^{2}

= (- 8 j + 7 k)^{2} + 9^{2}

9^{2} = 81

= (- 8 j + 7 k)^{2} + 81

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Frequently Asked Questions (FAQ)

What is |9i-8j+7k| ?
The solution to |9i-8j+7k| is sqrt((-8j+7k)^2+81)