Precalculus Examples

$v = 8 i - 6 j$

Step 1

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

$\sqrt{{(8)}^{2} + {(- 6)}^{2}}$

Step 2

Evaluate the square root.

Tap for more steps...

Step 2.1

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

$\sqrt{64 + {(- 6)}^{2}}$

Step 2.2

Raise $- 6$ to the power of $2$ .

$\sqrt{64 + 36}$

Step 2.3

Add $64$ and $36$ .

$\sqrt{100}$

Step 2.4

Rewrite $100$ as $10^{2}$ .

$\sqrt{10^{2}}$

Step 2.5

Pull terms out from under the radical, assuming positive real numbers.

$10$