The absolute value of a complex number `z = a + b*i` is `|z| = sqrt(a^2 + b^2).` According to this formula, you need to determine a and b, such that:
`a = 5, b = -12`
`|z| = sqrt(5^2 + (-12)^2)`
`|z| = sqrt(25 + 144)`
`|z| = sqrt 169`
`|z| = 13 `
Hence, the distance of the complex number` z = 5 - 12i` from the origin is given by its absolute...
The absolute value of a complex number `z = a + b*i` is `|z| = sqrt(a^2 + b^2).` According to this formula, you need to determine a and b, such that:
`a = 5, b = -12`
`|z| = sqrt(5^2 + (-12)^2)`
`|z| = sqrt(25 + 144)`
`|z| = sqrt 169`
`|z| = 13 `
Hence, the distance of the complex number` z = 5 - 12i` from the origin is given by its absolute value `|z| = 13` .
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