Linear Algebra Examples

i - 2 j

$i - 2 j$

Step 1

The length of the vector is the square root of the quantity of the

$i$ coordinate squared plus the

$j$ coordinate squared.

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

Step 2

Evaluate the square root.

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Step 2.1

One to any power is one.

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

Step 2.2

Raise

$- 2$ to the power of

$2$ .

$\sqrt{1 + 4}$

Step 2.3

Add

$1$ and

$4$ .

$\sqrt{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{5}$

Decimal Form:

$2.23606797 \dots$

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