What is $| | < - 1, - 2, 4 > - < 2, - 6, 1 > | |$ $|| <-1, -2, 4 > - < 2, -6, 1 > ||$ ?

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Answer 1 · 2016-12-13T20:30:43

The answer is $= \sqrt{34} = 5.8$ $=sqrt34=5.8$

Start by the subtraction of the 2 vectors before calculating the modulus.

$⟨ - 1, - 2, 4 ⟩ - ⟨ 2, - 6, 1 ⟩ = ⟨ - 3, 4, 3 ⟩$ $〈-1,-2,4〉-〈2,-6,1〉=〈-3,4,3〉$

The modulus is

$∥ ∥ ⟨ - 3, 4, 3 ⟩ ∥ = \sqrt{9 + 16 + 9} = \sqrt{34} = 5.8$ $∥〈-3,4,3〉∥=sqrt(9+16+9)=sqrt34=5.8$

What is ||<−1,−2,4>−<2,−6,1>|||| <-1, -2, 4 > - < 2, -6, 1 > ||?