Projection of a vector
Three-dimensional geometry and vector algebra · Mathematics
Study notes
Q: a = (4,3). Find the scalar and vector projections of a on b = (1,0) (x-axis), and decompose a. a·b = 4. |b| = 1. Scalar proj = 4. Vector proj = 4·(1,0) = (4,0). Perpendicular part: (4,3) − (4,0) = (0,3). So a = (4,0) + (0,3).