What is $| | v | |$ $||v||$ if $v = < 3, 1, - 2 >$ $v = < 3,1,-2 >$ ?

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What is $| | v | |$ $||v||$ if $v = < 3, 1, - 2 >$ $v = < 3,1,-2 >$ ?

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Answer 1 · 2015-07-15T15:34:57

$\sqrt{14} \approx 3.74166$ $sqrt(14)\approx 3.74166$

Explanation:

The length $∣ ∣ ∣ ∣ \to v ∣ ∣ ∣ ∣$ $||vec(v)||$ of a 3-dimensional vector $\to v = ⟨ a, b, c ⟩$ $\vec(v)=\langle a,b,c\rangle$ is $\sqrt{a^{2} + b^{2} + c^{2}}$ $sqrt(a^2+b^2+c^2)$ .

Therefore if $\to v = ⟨ 3, 1, - 2 ⟩$ $vec(v)=\langle 3,1,-2\rangle$ , then $∣ ∣ ∣ ∣ \to v ∣ ∣ ∣ ∣ = \sqrt{9 + 1 + 4} = \sqrt{14} \approx 3.74166$ $||vec(v)||=sqrt{9+1+4}=sqrt(14)\approx 3.74166$

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What is $| | v | |$ $||v||$ if $v = < 3, 1, - 2 >$ $v = < 3,1,-2 >$ ?

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What is ||v||||v|| if v=<3,1,−2>v = < 3,1,-2 >?

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What is $| | v | |$ $||v||$ if $v = < 3, 1, - 2 >$ $v = < 3,1,-2 >$ ?