If $A = < - 3, 6 >$ $A= <-3, 6 >$ and $B = < - 7, - 1 >$ $B= <-7, -1 >$ , what is $| | A + B | | - | | A | | - | | B | |$ $||A+B|| -||A|| -||B||$ ?

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Answer 1 · 2015-12-30T15:26:26

$- 2.599$ $-2.599$

$A + B = (- 3 - 7, 6 - 1) = (- 10, 5)$ $A+B=(-3-7,6-1)=(-10,5)$

$||A+B||=||(-10,5)||=sqrt(10^2+5^2)=sqrt125$ .

$||A||=||(-3,6)||=sqrt(3^2+6^2)=sqrt45$ .

$||B||=sqrt(7^2+1^2)=sqrt50$ .

$therefore ||A+B||-||A||-||B||=sqrt125-sqrt45-sqrt50$

$=-2.599$ .

If A= <-3, 6 >A=<−3,6>A= <-3, 6 > and B= <-7, -1 >B=<−7,−1>B= <-7, -1 >, what is ||A+B|| -||A|| -||B||||A+B||−||A||−||B||||A+B|| -||A|| -||B||?