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

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

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

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

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

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

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

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

$:.$

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

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