simplify |i-j-3k|

Solution

simplify

∣ i - j - 3 k ∣

(- j - 3 k)^{2} + 1

Solution steps

∣ i - j - 3 k ∣

Rewrite

i - j - 3 k

in standard complex form:

- j - 3 k + i

= ∣ - j - 3 k + i ∣

Apply complex arithmetic rule:

∣ a + bi ∣ = a^{2} + b^{2}

∣ - j - 3 k + i ∣ = (- j - 3 k)^{2} + 1^{2}

= (- j - 3 k)^{2} + 1^{2}

1^{2} = 1

= (- j - 3 k)^{2} + 1

(5 \cdot y^{2} - 10 \cdot z^{2})^{2}

(- 4 x^{4})^{2}

\frac{( 2 ^{x + 5} - 4 \cdot 2 ^{x} )}{( 16 \cdot 2 ^{x + 2} - 2 ^{x + 3} )}

(a - 1) \cdot (a + 1) \cdot (a^{2} + a + 1) \cdot (a^{2} - a + 1)

2130829 k^{1} - 18041807671