Question

If `A= <2 , 6 >` and `B= <9, 4 >`, what is `||A+B|| -||A|| -||B||`?

Answer 1

||A+B|| -||A|| -||B||= `sqrt221 -sqrt40 -sqrt97`

Explanation:

If A and B are vector notations, then ||A||= `sqrt(2^2 +6^2)= sqrt 40`, ||B||= `sqrt(9^2 +4^2)= sqrt 97`

A+B =<11,10>, ||A+B||= `sqrt(11^2 +10^2)= sqrt221`

||A+B|| -||A|| -||B||= `sqrt221 -sqrt40 -sqrt97`