If $A= <3, -5 >$ and $B= <9, 4 >$ , what is $||A+B|| -||A|| -||B||$ ?

Question

1311 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-06T06:25:45

$||A+B|| - ||A|| - ||B|| = sqrt145 - sqrt34 - sqrt97$

$||A|| = sqrt{3^2 + (-5)^2}$

$= sqrt34$

$||B|| = sqrt{9^2 + 4^2}$

$= sqrt97$

$A + B = <12,-1>$

$||A + B|| = sqrt{12^2 + 1^2}$

$= sqrt145$

$||A+B|| - ||A|| - ||B|| = sqrt145 - sqrt34 - sqrt97$

If A= <3, -5 >A= <3, -5 > and B= <9, 4 >B= <9, 4 >, what is ||A+B|| -||A|| -||B||||A+B|| -||A|| -||B||?