Simultaneous Equations as Sum of 3 Vectors

This example demonstrates how a system of three simultaneous linear equations can be visualized as the sum of three vectors. Key math concepts include vectors, systems of linear equations, and linear combinations. GeoGebra commands used are Ray and Polygon, with objects like O (origin), U (vector), h (length), α (angle), αU (rotated vector), U_α (rotated vector), V (vector), i (unit vector), β (angle), βV (rotated vector), V_β (rotated vector), W (vector), j (unit vector), γ (angle), γW (rotated vector), W_γ (rotated vector), and points A, B, C, D, along with variables q1, a_4, a_1, a_3, a_2, q2, b_4, b_1, b_2, b_3, q3, c_4, c_2, c_1, c_3, q4, d_1, d_4, d_2, d_3. Suitable for high school and above students studying vector applications and linear algebra.