Algebra Examples

$i - 2 j$

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

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

Evaluate the square root.

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One to any power is one.

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

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

$l = \sqrt{1 + 4}$

Add $1$ and $4$ .

$l = \sqrt{5}$

The result can be shown in multiple forms.

Exact Form:

$l = \sqrt{5}$

Decimal Form:

$l = 2.23606797 \dots$

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