Linearly Independent

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

Examine whether the following vectors from a linearly dependent or independent set of vector: hati+3hatj+5hatk, 2hati+6hatj+10hatk

Examine whether the following vectors from a linearly dependent or independent set of vector: veca(1,-2,30,vecb=(-2,3,-4),vecc=(1,-1,5)

Examine whether the following vectors from a linearly dependent or independent set of vector: hati+3hatj+5hatk, 2hati+6hatj+10hatk

Examine whether the following vectors from a linearly dependent or independent set of vector: veca=(1,-2,30),vecb=(-2,3,-4),vecc=(1,-1,5)

Examine whether the following vectors from a linearly dependent or independent set of vector: veca-3vecb+2vecc, vec-9vecb-vecc,3a+2vecb-vecc whre veca,vecb,vecc are non zero non coplanar vectors

Examine whether the following vectors from a linearly dependent or independent set of vector: veca-3vecb+2vecc, veca-9vecb-vecc,3veca+2vecb-vecc where veca,vecb,vecc are non zero non coplanar vectors

Linearly Dependent

If the gravitational force on an object depends linearly on its mass, why is the accleration of a freely falling object independent of its mass?

Define the them 'Linearly polarized light'.