1.1.48 Vector Algebra
Condition: Vectors are given: \ (\ bar {a} _ {1} = (-1,0,3), \ bar {a} _ {2} = (2.2,1) \), \ (\ bar {a} _ {3} = (-7, -6,0), \ bar {a} _ {4} = (5, -4,1) \). a) Find the rank and basis of many vectors \ (m = \ left \ {\ bar {a} _ {1}, \ bar {a} {2}, \ bar {a} \ 3 \ bar {a} {4} \ right \} \) and express all the vectors to express all the vectors sets \ (m \) through basic vectors. b) Find all the vectors orthogonal vector \ (\ bar {a} = (-1.3.2) \).
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.