Scalar triple product
Three-dimensional geometry and vector algebra · Mathematics
Study notes
Q: Find the volume of the parallelepiped with coterminous edges a=(1,0,0), b=(0,2,0), c=(0,0,3). Are (1,2,3),(4,5,6),(7,8,9) as vectors coplanar? [a b c] = 1·(2·3−0) = 6. Volume = 6. Second: determinant |1 2 3; 4 5 6; 7 8 9| = 0 (rows in AP). Coplanar ✓.