What is $| | < - 1, 4, 2 > - < - 2, - 7, 3 > | |$ $|| <-1, 4, 2 > - < -2 , -7, 3 > ||$ ?

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Answer 1 · 2016-07-18T02:28:06

$\sqrt{123}$ $sqrt123$ units.

The problem is asking for the magnitude of the subtraction of 2 vectors.

$(- 1, 4, 2) - (- 2, - 7, 3) = (1, 11, - 1)$ $(-1,4,2)-(-2,-7,3)=(1,11,-1)$

Magnitude of the resulting vector is $\sqrt{1^{2} + 11^{2} + 1^{2}} = \sqrt{123}$ $sqrt(1^2+11^2+1^2)=sqrt123$

What is ||<−1,4,2>−<−2,−7,3>|||| <-1, 4, 2 > - < -2 , -7, 3 > ||?