Vector Subtraction Calculator
This Vector Subtraction Calculator helps you subtract two 3D vectors by subtracting their corresponding components. Subtract the x-components, y-components, and z-components separately, then write the results together as a new vector. This follows the vector subtraction 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
- Identify the components of A and B.
- Write the component-wise subtraction rule.
- Substitute the components into the rule.
- Subtract 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: Subtract corresponding components.
Step 3 - Substitute the components.
In this problem: Place your values into the rule.
Step 4 - Subtract and simplify.
In this problem: Compute each component difference.
Final answer: A − B = ( -3, -3, -3 )
Example 2: (5/2,0,0),(1/2,0,0)
Step 1 - Identify the components.
In this problem: List the components of both vectors.
| 5 |
| 2 |
| 1 |
| 2 |
Step 2 - Write the rule.
In this problem: Subtract corresponding components.
Step 3 - Substitute the components.
In this problem: Place your values into the rule.
| 5 |
| 2 |
| 1 |
| 2 |
Step 4 - Subtract and simplify.
In this problem: Compute each component difference.
Final answer: A − B = ( 2, 0, 0 )
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