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If #A= <-3, 6 ># and #B= <-7, -1 >#, what is #||A+B|| -||A|| -||B||#?

1 Answer

Dec 30, 2015

#-2.599#

Explanation:

#A+B=(-3-7,6-1)=(-10,5)#

#||A+B||=||(-10,5)||=sqrt(10^2+5^2)=sqrt125#.

#||A||=||(-3,6)||=sqrt(3^2+6^2)=sqrt45#.

#||B||=sqrt(7^2+1^2)=sqrt50#.

#therefore ||A+B||-||A||-||B||=sqrt125-sqrt45-sqrt50#

#=-2.599#.

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