Vector Algebra
💡 Dot Product vs. Cross Product of Vectors
• Dot Product (a · b): Gives a scalar value. Formula: a · b = |a||b|cos θ. Used to find the angle between two vectors or check perpendicularity (a · b = 0). • Cross Product (a × b): Gives a vector perpendicular to both vectors. Formula: a × b = |a||b|sin θ n̂. Used to calculate the area of triangles and parallelograms.