If #A= <-7, 6 ># and #B= <-1,4 >#, what is #||A+B|| -||A|| -||B||#?

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Answer 1 · 2017-11-03T23:37:14

#2sqrt(41)-sqrt(85)-sqrt(17)~~-.536401613#

#A = ((-7),(6))#

#B= ((-1),(4))#

#A+B= ((-7),(6))+((-1),(4))=((-7+ -1),(6+4))=((-8),(10))#

#||A|| = sqrt((-7)^2+(6)^2)=sqrt(85)#

#||B|| = sqrt((-1)^2+(4)^2)=sqrt(17)#

#||A+B||= sqrt((-8)^2+(10)^2)=2sqrt(41)#

#:.#

#2sqrt(41)-sqrt(85)-sqrt(17)~~-.536401613#