Linear Algebra Examples

Find a Unit Vector in the Direction of the Given Vector
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
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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
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Step 6.1
Divide by .
Step 6.2
Move the negative in front of the fraction.
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