What is #|| <-1, 7, 4 > - < 2, 1, 1 > ||#?

1 Answer
ali ergin
Mar 11, 2016

#||<-1,7,4>-<2,1,1>||=sqrt54#

Explanation:

#A= <-1,7,4>" "B= <2,1,1>#
#Delta x=A_x-B_x=-1-2=-3#
#Delta y=A_y_B_y=7-1=6#
#Delta z=A_z-B_z=4-1=3#
#A-B=C#
#||C||=sqrt(Delta x^2+Delta y^2+Delta z^2#
#||C||=sqrt((-3)^2+6^2+3^2)#
#||C||=sqrt(9+36+9)#
#||C||=sqrt54#
#||<-1,7,4>-<2,1,1>||=C=sqrt54#
#||<-1,7,4>-<2,1,1>||=sqrt54#

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