Linear Algebra Examples

$2 i - j$

Step 1

The length of the vector is the square root of the quantity of the $i$ coordinate squared plus the $j$ coordinate squared.

$\sqrt{{(2)}^{2} + {(- 1)}^{2}}$

Step 2

Evaluate the square root.

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Step 2.1

Raise $2$ to the power of $2$ .

$\sqrt{4 + {(- 1)}^{2}}$

Step 2.2

Raise $- 1$ to the power of $2$ .

$\sqrt{4 + 1}$

Step 2.3

Add $4$ and $1$ .

$\sqrt{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{5}$

Decimal Form:

$2.23606797 \dots$