Plane Vector Subtraction Calculator
What is a Plane Vector Subtraction Calculator?
A Plane Vector Subtraction Calculator is a tool used to compute the difference between two vectors in a plane (2D) or space (3D). The result of vector subtraction is another vector that represents the difference in direction and magnitude between the two input vectors.
Why Use a Plane Vector Subtraction Calculator?
- To determine the displacement between two points.
- To find the relative motion of an object compared to another.
- To compute force differences in physics.
- To simplify vector calculations in mathematics and engineering.
How Does the Calculator Work?
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Input Two Vectors
A=(Ax,Ay,Az)
Given two vectors:
B=(Bx,By,Bz) -
Compute the Subtraction
A−B=(Ax−Bx,Ay−By,Az−Bz)
The formula for vector subtraction is:This means we subtract the corresponding components of vector B from vector A.
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Result
C=(Cx,Cy,Cz)
The result is a new vector:where:
Cx=Ax−Bx,Cy=Ay−By,Cz=Az−Bz
When to Use It?
- When calculating displacement between two locations.
- In physics to determine velocity or force differences.
- In navigation or robotics to determine direction adjustments.
- In computer graphics for transformations and movements.