Question

sendo u=(2,3,1) e v=(1,4,5) calcule |u-v|

Answer 1

|u - v| = |(x₁-x₂, y₁-y₂, z₁-z₂)|
|u - v| = |(2-1,3-4,1-5)|
|u - v| = |(1,-1,-4)|

$|u-v| = \sqrt{ 1^{2} + (-1)^{2} (-4)^{2} } = \sqrt{1+1+16} = \sqrt{18} \\ |u-v| = 3 \sqrt{2}$