What is #|| <-1, -2, 7 > - <3, 2 , -3 > ||#?

1 Answer
Mar 6, 2018

The answer is #=sqrt132#

Explanation:

This is the calculation of the magnitude of the sum of #2# vectors.

Therefore,

#|| <-1, -2, 7> - <3, 2,-3>||#

#=|| <-1-3, -2-2, 7+3> ||#

#=|| <-4, -4, 10>||#

#=sqrt((-4)^2+(-4)^2+(10)^2)#

#=sqrt(16+16+100)#

#=sqrt132#

#=11.49#