Dot Product (Scalar Product)

📊 intermediate

$$\vec{A} \cdot \vec{B} = AB \cos \theta$$

The product of the magnitudes of two vectors and the cosine of the angle between them.

Variables & Units

$A, B$

Magnitudes of vectors

Unit: Variable

$\theta$

Angle between vectors

Unit: Degrees/Radians

Key Information

📐 Derived From

Vector geometry.

💡 Example

Calculating Work Done ($W = \vec{F} \cdot \vec{s}$).

🔧 Applications

Finding the angle between two vectors.

⚠️ Constraints

Result is a scalar.

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