What is $| | < - 1, - 9, - 2 > - < - 2, - 4, 1 > | |$ $|| <-1, -9, -2 > - < -2 , -4, 1 > ||$ ?

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What is $| | < - 1, - 9, - 2 > - < - 2, - 4, 1 > | |$ $|| <-1, -9, -2 > - < -2 , -4, 1 > ||$ ?

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Answer 1 · 2016-11-05T05:46:45

The answer $= \sqrt{35}$ $=sqrt35$

Explanation:

First, we start by subtracting the vectors
$∥ ⟨ - 1, - 9, - 2 ⟩ - ⟨ - 2, - 4, 1 ⟩ ∥ = ∥ ⟨ - 1 + 2, - 9 + 4, - 2 - 1 ⟩ ∥$ $∥〈-1,-9,-2〉-〈-2,-4,1〉∥=∥〈-1+2,-9+4,-2-1〉∥$
$= ∥ ⟨ 1, - 5, - 3 ⟩ ∥$ $=∥〈1,-5,-3〉∥$
Then we calculate the modulus
$= \sqrt{1 + 25 + 9}$ $=sqrt(1+25+9)$
$= \sqrt{35}$ $=sqrt35$

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What is $| | < - 1, - 9, - 2 > - < - 2, - 4, 1 > | |$ $|| <-1, -9, -2 > - < -2 , -4, 1 > ||$ ?

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