# How to Find Vector Size: 7 Steps (with Pictures)

## Video: How to Find Vector Size: 7 Steps (with Pictures) Video: HOW TO CONVERT HOURS TO MINUTES AND MINUTES TO HOURS. 2023, October

A vector is a geometric object that has both magnitude and direction. The magnitude of the vector is the length, while the direction of the resultant vector is the direction. The size of a vector can be found in a few easy steps. Some other important vector operations include adding and subtracting vectors, finding angles between two vectors, and finding cross products.

## Step

### Method 1 of 2: Finding the Vector Size from the Origin

#### Step 1. Determine the components of the vector

Each vector can be represented numerically in a Cartesian coordinate system with horizontal (x-axis) and vertical (y-axis) components. These components are written in consecutive pairs ${displaystyle v=}$

### Misalnya, vektor di atas memiliki komponen horizontal 3 dan komponen vertikal -5, dengan demikian pasangan berurutannya adalah

#### Step 2. Vector image of a triangle

When describing the horizontal and vertical components, we get a right triangle. The magnitude of a vector is equal to the length of the hypotenuse of the triangle so we can use the Pythagorean Theorem to calculate it.

#### Step 3. Change the Pythagorean Theorem formula to calculate the magnitude of the vector

The formula for the Pythagorean theorem is A2 + B2 = C2. “A” and “B” are the horizontal and vertical components of the triangle while “C” is the hypotenuse. Since the vector is the hypotenuse, find "C".

• x2 + y2 = v2
• v = (x2 + y2))

#### Step 4. Find the magnitude of the vector

Using the equation above, enter the numbers in consecutive pairs of vectors to find the magnitude of the vector.

• For example, v = ((32+(-5)2))
• v =√(9 + 25) = 34 = 5, 831
• Don't worry if your answer is not an integer. The vector size can be in decimal form.

### Method 2 of 2: Finding the Size of a Vector Not from the Origin

#### Step 1. Determine the components of the two points on the vector

Each vector can be represented numerically in a Cartesian coordinate system with horizontal (x-axis) and vertical (y-axis) components. These components are written in consecutive pairs ${displaystyle v=}$

. Jika Anda diberi vektor yang tidak berawal dari titik asal pada koordinat Kartesian, Anda harus mendefinisikan komponen kedua titik pada vektor.

• Misalnya, vektor AB memiliki pasangan berurutan pada titik A dan titik B.
• Titik A memiliki komponen horizontal 5 dan komponen vertikal 1, sehingga pasangan berurutannya adalah.
• Titik B memiliki komponen horizontal 1 dan komponen vertikal 2, sehingga pasangan berurutannya adalah.

#### Step 2. Use the modified formula to find the magnitude of the vector

Now that you know the two points needed, subtract the x and y components from each using the formula v = ((x2-x1)2 +(y2-y1)2) before finding the magnitude of the vector.

• Point A is the ordered pair 1 <x1, y1> and point B are consecutive pairs of 2 <x2, y2>