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

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

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Answer 1 · 2016-04-28T12:05:09

#||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]

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

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