Question

If `A= <2 , 6 >` and `B= <-1,0 >`, what is `||A+B|| -||A|| -||B||`?

Answer 1

`||A+B||-||A||-||B||=-1.24`

Explanation:

`vec A +vec B = (2-1) , (6+0) = 1,6` `:.|| A+B|| = sqrt (6^2+1^2) = sqrt 37` `||A||= sqrt (6^2+2^2) = sqrt 40 ; ||B||= sqrt ((-1)^2+0^2) = sqrt 1=1 :. ||A+B||-||A||-||B||= sqrt37 - sqrt 40 -1 = - 1.24`[Ans]