כיצד לחשב את Vector Cross Product
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The cross product A×B of two 3D vectors produces a new vector perpendicular to both. Its magnitude equals the area of the parallelogram spanned by the two vectors. Direction follows the right-hand rule.
מדריך שלב אחר שלב
- 1A×B = [a₂b₃−a₃b₂, a₃b₁−a₁b₃, a₁b₂−a₂b₁]
- 2Magnitude: |A×B| = |A||B|sin(θ)
- 3A×B = −(B×A) (anti-commutative)
Worked Examples
קלט
A=[1,0,0] · B=[0,1,0]
תוצאה
A×B = [0,0,1] (unit z-vector)
x̂ × ŷ = ẑ by right-hand rule
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