Linear Combination: Linear Independence And Linear Dependence

VECTOR ALGEBRA | LINEAR COMBINATION LINEAR INDEPENDENCE AND LINEAR DEPENDENCE | Definition and physical interpretation: Linear Combination, Linear Combination: Linear Independence And Linear Dependence, Linearly Independent, Linearly Dependent, Theorem 1: If veca and vecb are two non collinear vectors; then every vector vecr coplanar with veca and vecb can be expressed in one and only one way as a linear combination: x veca +y vecb ., Theorem 2: If veca , vecb and vecc are non coplanar vectors; then any vector vecr can be expressed as linear combination: x veca +y vecb +z vecc , Theorem 3:If vectors veca , vecb and vecc are coplanar then det( veca vecb vecc ) = 0, Examples: Prove that the segment joining the middle points of two non parallel sides of a trapezium is parallel to the parallel sides and half of their sum., Components of a vector in terms of coordinates of its end points

Collinearity OF Vectors|| Vector Equation OF Bisector Lines|| Linear Combination|| Linearly Independent || Linearly Dependent|| Condition to check Coplanarity

As Linear Shm

Linear combination OF vector || Linearly dependent vectors || Linearly independent vectors || Theorem in space || Condition OF coplanar OF 4 point || Reciprocal system OF vectors

Linear method

Linear Programming

Linear Programming

Linear combination theorem in plane and vector equation

Linear Inequalities