engineering Verified Precision Tool
Vector Components Calculator
Decompose vector magnitude and angle into orthogonal (Vx, Vy) components.
Calculated Solution
Dot Product = 0 | |V1| = 11.18 | Angle = 90.0°
Step-by-Step Numerical Solution
1. Given Values:
- Vector 1: [10, 5, 0]
- Vector 2: [0, 0, 0]
2. Required Parameter:Magnitude, Dot Product, Cross Product, Angle
3. Governing Formula:
A · B = ∑(Ai Bi) | |A| = √(Ax² + Ay² + Az²) | cos(θ) = (A · B) / (|A||B|)4. Variable Substitution:
Dot product = 05. Result & Interpretation:
The dot product of the two vectors is 0, indicating an angle of 90.0° between them.
Mathematical Formula
Vx = |V| cos(θ) | Vy = |V| sin(θ)
Overview & Explanation
Calculate vector components calculator for physical mechanics and engineering analysis.
How It Works
- Input physical parameters
- Apply governing physical law
- View step by step derivation
Practical Applications
- Physics coursework
- Engineering design
- Technical verification
Vector Components Calculator Standard Worked Example
Compute vector components calculator using standard numerical inputs.
1
Formula Substitution
Applied Vx = |V| cos(θ) | Vy = |V| sin(θ)
= Calculated successfully
Frequently Asked Questions
What is the formula for vector components calculator?
The governing physical formula is Vx = |V| cos(θ) | Vy = |V| sin(θ).
How do I use the vector components calculator solver?
Enter the required input variables into the fields above to generate instant calculations with complete step by step steps.
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