If $A = < 6, - 1 >$ $A= <6, -1 >$ and $B = < - 8, 6 >$ $B= <-8, 6>$ , what is $| | A + B | | - | | A | | - | | B | |$ $||A+B|| -||A|| -||B||$ ?

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If $A = < 6, - 1 >$ $A= <6, -1 >$ and $B = < - 8, 6 >$ $B= <-8, 6>$ , what is $| | A + B | | - | | A | | - | | B | |$ $||A+B|| -||A|| -||B||$ ?

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Answer 1 · 2018-07-01T10:33:29

$| | A + B | | - | | A | | - | | B | | = \sqrt{29} - \sqrt{37} - \sqrt{89} \approx - 9.6976$ $||A+B|| - ||A|| - ||B|| = color(orange)(sqrt(29)-sqrt(37)- sqrt(89) ~~ - 9.6976$

Explanation:

$A=((6),(-1))$

$B=((4),(5))$

$A+B=((6),(-1)) +((-8),(6))=((-2),(5))$

$||A+B||=sqrt((-2)^2+(5)^2)=sqrt(29)$

$||A||=sqrt((6)^2+(-1)^2)=sqrt(37)$

$||B||=sqrt((-8)^2+(6)^2)=sqrt(89)$

$:.||A+B|| - ||A|| - ||B|| = color(orange)(sqrt(29)-sqrt(37)- sqrt(89) ~~ - 9.6976$

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If $A = < 6, - 1 >$ $A= <6, -1 >$ and $B = < - 8, 6 >$ $B= <-8, 6>$ , what is $| | A + B | | - | | A | | - | | B | |$ $||A+B|| -||A|| -||B||$ ?

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If A= <6, -1 >A=<6,−1>A= <6, -1 > and B= <-8, 6>B=<−8,6>B= <-8, 6>, what is ||A+B|| -||A|| -||B||||A+B||−||A||−||B||||A+B|| -||A|| -||B||?

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Explanation:

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If $A = < 6, - 1 >$ $A= <6, -1 >$ and $B = < - 8, 6 >$ $B= <-8, 6>$ , what is $| | A + B | | - | | A | | - | | B | |$ $||A+B|| -||A|| -||B||$ ?