What is $| | < - 3, 6, 8 > - < 5, - 2, 7 > | |$ $|| <-3, 6 , 8 > - <5, -2 , 7 > ||$ ?

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Answer 1 · 2017-06-03T06:17:16

When subtracting two vectors you subtract the respective components.

Hence, $(- 3, 6, 8) - (5, - 2, 7) = (- 3 - 5, 6 + 2, 8 - 7)$ $(-3,6,8) - (5,-2,7) = (-3-5,6+2,8-7)$

This gives $(- 3, 6, 8) - (5, - 2, 7) = (- 8, 8, 1)$ $(-3,6,8) - (5,-2,7) = (-8,8,1)$

Then taking the modulus,

$|(-8,8,1)| = (8^2 + 8^2 + 1^2)^(1/2)$

Which is, $(64 + 64 + 1)^(1/2) = 11.35$

What is || <-3, 6 , 8 > - <5, -2 , 7 > ||||<−3,6,8>−<5,−2,7>|||| <-3, 6 , 8 > - <5, -2 , 7 > ||?