Branden Valentine

2022-01-24

What are the standard three-dimensional unit vectors?

SaphypycleDapc5

Expert

$\stackrel{^}{i}=\left(1,0,0\right)$
$\stackrel{^}{j}=\left(0,1,0\right)$
$\stackrel{^}{k}=\left(0,0,1\right)$
These are the 3 standard unit vectors in ${\mathbb{R}}^{3}$ and they form a basis for ${\mathbb{R}}^{3}$ , that is, they are linearly independent and span the entire vector space of ${\mathbb{R}}^{3}$

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