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

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

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Answer 1 · 2016-01-13T16:09:55

||A+B|| -||A|| -||B||= $\sqrt{221} - \sqrt{40} - \sqrt{97}$ $sqrt221 -sqrt40 -sqrt97$

Explanation:

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

A+B =<11,10>, ||A+B||= $\sqrt{11^{2} + 10^{2}} = \sqrt{221}$ $sqrt(11^2 +10^2)= sqrt221$

||A+B|| -||A|| -||B||= $\sqrt{221} - \sqrt{40} - \sqrt{97}$ $sqrt221 -sqrt40 -sqrt97$

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

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

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Explanation:

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