
1.1.35 Vector Algebra
Condition: to prove that the vectors \ (l_ {1} = (5; 3; -2) \), \ (l_ {2} = (-1; -2; 1), \ quad l_ {3} = (-2; -1; 1) \ quad \) form the basis in \ (\ mathbbb {r} {3} \). Find the coordinates of the vector \ (b = (0; -5; 3) \) in this basis.
Vector Algebra is a Branch of Algebra That Studies Linear Operations on Vectors and Their Geometric Properties. In the Security You Will Find Problems on the Decomposition of Vectors, Scalar, Vector and Mixed Products, Coordinates of Vectors in Different Bases and Much More.