Find the Length 3i-j

$3 i - j$

Step 1

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

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

Step 2

Evaluate the square root.

Raise $3$ to the power of $2$ .

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

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

$\sqrt{9 + 1}$

Add $9$ and $1$ .

$\sqrt{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{10}$

Decimal Form:

$3.16227766 \dots$