Solve With Detailed Explanation

2. Planes: {3] Find a vector equation for the plane '13 passing through the points A = (10.617) , B = (U. 5. 6) , and C = (8.43) {b} Convert the vector equation for 'P from part {b} (a) to a scalar equation for P. 3. Proofs: [a] Let '5'], .. . ,. 6 R\". Suppose that there exists some vector ii where 1 g 'i 5 k such that '5'} is a linear combination of ii], . . ., -['r,-_1, r,\" . . . .171... Prove that Span{''1,...ek} = Spanfl ..... JP 1. 131+! {it} (b) Prove that. [3] eslmg] [31]} W [ H}