Vector Addition Calculator

This Vector Addition Calculator helps you add two 3D vectors by combining their corresponding components. Add the x-components, y-components, and z-components separately, then write the results together as a new vector. This follows the vector addition rule used in coordinate geometry and vector algebra. It is a simple way to check answers, understand the method clearly, and practise vector operations step by step.

Step-by-step method

1. Identify the components of A and B.
2. Write the component-wise addition rule.
3. Substitute the components into the rule.
4. Add corresponding components to get the result.

Formula:

Example 1: (1,2,3),(4,5,6)

Step 1 - Identify the components.

In this problem: List the components of both vectors.

Step 2 - Write the rule.

In this problem: Add corresponding components.

Step 3 - Substitute the components.

In this problem: Place your values into the rule.

Step 4 - Add and simplify.

In this problem: Compute each component sum.

Final answer: A + B = ( 5, 7, 9 )

Example 2: (1/2,0,0),(5/2,0,0)

Step 1 - Identify the components.

In this problem: List the components of both vectors.

Step 2 - Write the rule.

In this problem: Add corresponding components.

Step 3 - Substitute the components.

In this problem: Place your values into the rule.

Step 4 - Add and simplify.

In this problem: Compute each component sum.

Final answer: A + B = ( 3, 0, 0 )