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

$i$ coordinate squared plus the

j

$j$ coordinate squared.

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

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

Step 2

Evaluate the square root.

Tap for more steps...

Step 2.1

One to any power is one.

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

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

Step 2.2

Raise

- 2

$- 2$ to the power of

2

$2$ .

\sqrt{1 + 4}

$\sqrt{1 + 4}$

Step 2.3

Add

1

$1$ and

4

$4$ .

\sqrt{5}

$\sqrt{5}$

\sqrt{5}

$\sqrt{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\sqrt{5}

$\sqrt{5}$

Decimal Form:

2.23606797 \dots

$2.23606797 \dots$

Enter YOUR Problem