What is $| | < - 1, - 2, 7 > - < 3, 2, - 3 > | |$ $|| <-1, -2, 7 > - <3, 2 , -3 > ||$ ?

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Answer 1 · 2018-03-06T14:43:39

The answer is $= \sqrt{132}$ $=sqrt132$

This is the calculation of the magnitude of the sum of $2$ $2$ vectors.

Therefore,

$| | < - 1, - 2, 7 > - < 3, 2, - 3 > | |$ $|| <-1, -2, 7> - <3, 2,-3>||$

$= | | < - 1 - 3, - 2 - 2, 7 + 3 > | |$ $=|| <-1-3, -2-2, 7+3> ||$

$= | | < - 4, - 4, 10 > | |$ $=|| <-4, -4, 10>||$

$= \sqrt{{(- 4)}^{2} + {(- 4)}^{2} + {(10)}^{2}}$ $=sqrt((-4)^2+(-4)^2+(10)^2)$

$= \sqrt{16 + 16 + 100}$ $=sqrt(16+16+100)$

$= \sqrt{132}$ $=sqrt132$

$= 11.49$ $=11.49$

What is ||<−1,−2,7>−<3,2,−3>|||| <-1, -2, 7 > - <3, 2 , -3 > ||?