Physics I / Dot Product, Cross Product, and Applications
Practice question · Sort into groups

Sort these properties into Dot Product or Cross Product.

Groups: Dot Product · Cross Product

Hints
  1. One product measures alignment; the other measures perpendicularity.
  2. Only one of them changes sign when the operands are swapped.
Show the answer

Dot Product: Result is a scalar, Commutative: u·v=v⋅uv = v\cdot u, Measures angle between vectors

Cross Product: Magnitude is ∣u∣∣v∣sin⁡θ|u||v|\sin\theta, Anti-commutative: u×v=−(v×u)v = -(v\times u)

Why

Dot product gives a scalar measuring alignment; cross product gives a perpendicular vector.

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