What is $|| < -3, -3, 0 > ||$ ?

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Answer 1 · 2016-01-31T20:57:57

$sqrt18$

For any n-dimensional vector $A=(a_1,a_2,...,a_n)$ , the norm of the vector is given by $||A||=sqrt(a_1^2+a_2^2+...+a_n^2$ .

So in this particular case we work in $RR^3$ and get

$|| ( (-3, -3, 0)) ||=sqrt((-3)^2+(-3)^2+0^2$

$=sqrt18$

What is || < -3, -3, 0 > || || < -3, -3, 0 > || ?