# How To Find the Magnitude of a Vector

A geometric object with both direction and magnitude.The magnitude is the length of the vector and the direction is how it’s pointing.A few easy steps can be used to calculate the magnitude of a vectors.Adding and subtracting is one of the important vector operations.

### Step 1: The components should be determined.

There is a horizontal and vertical component to the Cartesian coordinate system.It is written in an ordered pair.The ordered pair is 3, -5> because of the horizontal and vertical components of 3 and 5.

### Step 2: Draw a triangle.

You end up with a right triangle when you draw the horizontal and vertical components.The Pythagorean theorem can be used to calculate the magnitude of the triangle.

### Step 3: The Pythagorean theorem is used to calculate the magnitude.

The horizontal and vertical components of the triangle are A and B.You want to solve for “C” since it’s the hypotenuse.x + y is the same as v.

### Step 4: For the magnitude, find a solution.

You can plug in the numbers of the ordered pair to solve for the magnitude using the equation above.If your answer is not a whole number, don’t worry.The magnitudes can be calculated.

### Step 5: The components of both points should be determined.

There is a horizontal and vertical component to the Cartesian coordinate system.It is written in an ordered pair.You have to define the components of both points of the vector if it is placed away from the origin.There is an ordered pair for point A and point B.The ordered pair is 5, 1> since Point A has a horizontal and a vertical component.The ordered pair is 1, 2> because Point B has a horizontal component and a vertical component.

### Step 6: To solve for the magnitude, use a modified formula.

You must subtract the x and y components of each point before you can use the equation v to solve it.Point A and point B are ordered together.

### Step 7: For the magnitude, find a solution.

You can calculate the magnitude by plugging in the numbers of your ordered pairs.The above example shows how the calculation looks like.The magnitudes can be calculated.