Examples

3 i - j

$3 i - j$

Step 1

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

i

$i$ coordinate squared plus the

j

$j$ coordinate squared.

\sqrt{{(3)}^{2} + {(- 1)}^{2}}

$\sqrt{{(3)}^{2} + {(- 1)}^{2}}$

Step 2

Evaluate the square root.

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Step 2.1

Raise

3

$3$ to the power of

2

$2$ .

\sqrt{9 + {(- 1)}^{2}}

$\sqrt{9 + {(- 1)}^{2}}$

Step 2.2

Raise

- 1

$- 1$ to the power of

2

$2$ .

\sqrt{9 + 1}

$\sqrt{9 + 1}$

Step 2.3

Add

9

$9$ and

1

$1$ .

\sqrt{10}

$\sqrt{10}$

\sqrt{10}

$\sqrt{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\sqrt{10}

$\sqrt{10}$

Decimal Form:

3.16227766 \dots

$3.16227766 \dots$

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