# What is #||<< -6,-7,1 >>||# (the magnitude of #<< -6, -7, 1 >>#)?

##### 1 Answer

Dec 29, 2015

Well, the magnitude of an

#\mathbf(||<< n_1, n_2, ..., n_N >>|| = sqrt(n_1^2 + n_2^2 + ... + n_N^2))# where

#n# is a specific dimension (like#x# ,#y# , or#z# ), and#N# is the number of dimensions.

To get the magnitude of this vector:

#||<< -6,-7,1 >>||#

#= sqrt((-6)^2 + (-7)^2 + 1^2) = sqrt(86)#

#~~ color(blue)(9.2736)#