Precalculus Examples

$17 i - 8 j$

Step 1

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

$\sqrt{{(17)}^{2} + {(- 8)}^{2}}$

Step 2

Evaluate the square root.

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Step 2.1

Raise $17$ to the power of $2$ .

$\sqrt{289 + {(- 8)}^{2}}$

Step 2.2

Raise $- 8$ to the power of $2$ .

$\sqrt{289 + 64}$

Step 2.3

Add $289$ and $64$ .

$\sqrt{353}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{353}$

Decimal Form:

$18.78829422 \dots$