Answer: [tex]\sqrt{14}[/tex]
Step-by-step explanation:
The given notation is not clear enough, but I will asume that the question is: "Wich is the vector lenght of the vector [tex](2,3,1)[/tex] in a 3 dimensional euclidean space"
Vector lenght of a vector [tex](a,b,c)[/tex] is given by the next formula:
║[tex](a,b,c)[/tex]║=[tex]\sqrt{a^2+b^2+c^2}[/tex]
In this case we have a=2, b=3 and c=1. We should substitute these values in the formula given before to obtain:
║[tex](2,3,1)[/tex]║=[tex]\sqrt{2^2+3^2+1^2}=\sqrt{14}=3.74165[/tex]
Wich is the answer to the problem.
