# Linear Algebra Examples

Step 1

To find a unit vector in the same direction as a vector , divide by the norm of .

Step 2

The norm is the square root of the sum of squares of each element in the vector.

Step 3

Step 3.1

One to any power is one.

Step 3.2

Raising to any positive power yields .

Step 3.3

Raise to the power of .

Step 3.4

Add and .

Step 3.5

Add and .

Step 4

Divide the vector by its norm.

Step 5

Divide each element in the vector by .

Step 6

Step 6.1

Divide by .

Step 6.2

Move the negative in front of the fraction.