Collinear and coplanar vectors

What are coplanar vectors ?

Given three vectors veca, vecb and vecc are non-zero and non-coplanar vectors. Then which of the following are coplanar.

Equal vectors; null vector; unit vectors; position vector; like and unlike vectors; collinear and parallel vectors

What are co-initial and collinear vectors?

Answer the following as true or flase: vec a and vec b are collinear.Two collinear vectors are always equal in magnitude.Zero vector is unique.Two vectors having same magnitude are collinear.Two collinear vectors having the same magnitude are equal.

The position vector of three points are 2veca-vecb+3vecc , veca-2vecb+lambdavecc and muveca-5vecb where veca,vecb,vecc are non coplanar vectors. The points are collinear when

The points P(3, 2, 4), Q4, 5, 2), R(5, 8, and S(2, -1, 6) are (a) vertices of a rhombus which is not a square b) non-coplanar c) collinear d) coplanar but not collinear

Show that the vectors veca-2vecb+3vecc,-2veca+3vecb-4vecc and - vecb+2vecc are coplanar vector where veca, vecb, vecc are non coplanar vectors

vec axx( vec bxx vec c) , vec bxx( vec cxx vec a) and vec cxx( vec axx vec b) are: linearly dependent (b) coplanar vector parallel vectors (d) non coplanar vectors

Minimum number of two coplanar vectors of equal magnitude whose vectors sum could be zero, is: