If $A= <-9, 2 >$ and $B= <-3, 8>$ , what is $||A+B|| -||A|| -||B||$ ?

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Answer 1 · 2017-12-09T15:28:47

See below.

$A=((-9),(2))$

$B=((-3),(8))$

$A+B=((-9),(2)) +((-3),(8))=((-12),(10))$

$||A+B||=sqrt((-12)^2+(10)^2)=sqrt(244)=2sqrt(61)$

$||A||=sqrt((-9)^2+(2)^2)=sqrt(85)$

$||B||=sqrt((-3)^2+(8)^2)=sqrt(73)$

$:.$

$2sqrt(61)-sqrt(85)-sqrt(73)=-2.143048852$

If A= <-9, 2 >A= <-9, 2 > and B= <-3, 8>B= <-3, 8>, what is ||A+B|| -||A|| -||B||||A+B|| -||A|| -||B||?