Prove that the three points `veca-2vecb+3vecc, vec(2a)+3vecb-4vecc and -7vecb+10vecc` are collinear

i. Prove that the points veca - 2vecb + 3 vecc, 2 veca + 3vecb- 4 vecc and -7 vecb + 10 vecc are collinear, where veca, vec b and vecc are non-coplanar. ii. Prove that the points A(1, 2, 3), B(3,4, 7) and C(-3, -2, -5) are collinear. Find the ratio in which point C divides AB.

Show that the three points whose position vectors are veca-2vecb+3vecc, 2veca+3vecb-4vecc, -7vecb+10vecc are collinear

Show that points with position vectors 2veca-2vecb+3vecc,-2veca+3vecb-vecc and 6veca-7vecb+7vecc are collinear. It is given that vectors veca,vecb and vecc and non-coplanar.

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

i. If vec a , vec b a n d vec c are non-coplanar vectors, prove that vectors 3veca -7vecb -4 vecc ,3 veca -2vecb + vecc and veca + vecb +2 vecc are coplanar.

Show that the vectors 2veca-vecb+3vecc, veca+vecb-2vecc and veca+vecb-3vecc are non-coplanar vectors (where veca, vecb, vecc are non-coplanar vectors).

i. If veca, vecb and vecc are non-coplanar vectors, prove that vectors 3veca-7vecb-4vecc, 3veca-2vecb+vecc and veca+vecb+2vecc are coplanar.

If veca, vecb and vecc are non-coplanar vectors, prove that the four points 2veca+3vecb-vecc, veca-2vecb+3vecc, 3veca+4vecb-2vecc and veca-6vecb+ 6 vecc are coplanar.

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

Show that the points having position vectors (veca-2vecb+3vecc),(-2veca+3vecb+2vecc),(-8veca+13vecb) re collinear whatever veca,vecb,vecc may be