Home
Class 12
MATHS
Show that the points veca+2vecb+3c,-2vec...

Show that the points `veca+2vecb+3c,-2veca+3vecb+5vecc and 7veca-vecc` are colinear.

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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).

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.

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.

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

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

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.

If veca, vecb and vecc are three non-zero vectors, no two of which are collinear, veca +2 vecb is collinear with vecc and vecb + 3 vecc is collinear with veca , then find the value of |veca + 2vecb + 6vecc| .

Prove that [ veca+ vecb , vecb+ vecc , vecc+ veca]=2[ veca , vecb , vecc] .

If veca,vecb,vecc are non zero and non coplanar vectors show that the following vector are coplanar: 2veca-3vecb+4vecc, -veca+3vecb-5vecc,-veca+2vecb-3vecc