Vector Calculator

How to Use the Vector Calculator

This guide will walk you through using the Vector Calculator to perform various vector operations such as addition, subtraction, dot product, and cross product.

Step 1: Enter Vector Components

Begin by entering the components for the two vectors you want to calculate:

• Vector 1 – X Component: Input the X component for the first vector. This is a required numeric field.
• Vector 1 – Y Component: Input the Y component for the first vector. This is also a required numeric field.
• Vector 2 – X Component: Input the X component for the second vector. Again, this is a required numeric field.
• Vector 2 – Y Component: Input the Y component for the second vector. This is a required numeric field.

Step 2: Choose an Operation

Select the desired operation you wish to perform from the dropdown menu:

• Addition: Adds the corresponding components of Vector 1 and Vector 2.
• Subtraction: Subtracts the components of Vector 2 from Vector 1.
• Dot Product: Calculates the dot product of the two vectors.
• Cross Product (Z-component): Computes the Z-component of the cross product of the two vectors.

This is a required selection to proceed with the calculations.

Step 3: View Calculated Results

After entering all the required inputs and selecting your desired operation, the calculator will process the information and display the results:

• Result – X Component: Displays the result of the X component based on the selected operation.
• Result – Y Component: Displays the result of the Y component based on the selected operation.
• Vector 1 Magnitude: Shows the magnitude of Vector 1, calculated using the formula sqrt(pow(vector1x, 2) + pow(vector1y, 2)).
• Vector 2 Magnitude: Shows the magnitude of Vector 2, calculated using the formula sqrt(pow(vector2x, 2) + pow(vector2y, 2)).
• Vector 1 Angle (degrees): The angle of Vector 1 in degrees, calculated as atan2(vector1y, vector1x) * 180 / pi.
• Vector 2 Angle (degrees): The angle of Vector 2 in degrees, calculated as atan2(vector2y, vector2x) * 180 / pi.

All results are formatted to display numerical precision, with decimals and appropriate suffixes as needed.

Conclusion

Utilize this Vector Calculator for seamless computation of vector operations, obtaining both component results and vector properties such as magnitude and angle efficiently. Make sure to enter valid numbers for each component and specify the operation to get accurate results.