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Resultant Vector Formula:
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The resultant vector formula calculates the magnitude of the resultant vector from two perpendicular vectors. This is commonly used in physics and engineering to find the net effect of two orthogonal forces or components.
The calculator uses the resultant vector formula:
Where:
Explanation: The formula applies the Pythagorean theorem to calculate the magnitude of the resultant vector from two perpendicular components.
Details: Calculating resultant vectors is essential in physics, engineering, and navigation for determining net forces, velocities, and directions when multiple vector components are involved.
Tips: Enter the magnitudes of both vector components in the same units. The calculator will compute the resultant magnitude in the same units.
Q1: Does this formula work for non-perpendicular vectors?
A: No, this specific formula is for perpendicular vectors only. For non-perpendicular vectors, vector addition using components or the law of cosines is required.
Q2: What units should I use for the vectors?
A: Both vectors must use the same units (e.g., Newtons for force, m/s for velocity). The resultant will be in the same units.
Q3: Can I use this for more than two vectors?
A: This specific calculator is designed for two perpendicular vectors. For more vectors, you would need to break them down into components first.
Q4: What if my vectors are in different directions?
A: This formula assumes the vectors are perpendicular. For other angles, you would need to use trigonometric methods to resolve the vectors.
Q5: Is the resultant always positive?
A: Yes, since we're calculating magnitude using squares and square roots, the resultant is always a positive value representing the magnitude.