Home
Class 12
MATHS
Show that the lines, vecr=8ik-9vecb+10ve...

Show that the lines, `vecr=8ik-9vecb+10vecc+t(3veca-7vecc) and vecr=15veca+29vecb+5vecc+p(3veca+8vecb-5vecc)` are non coplanar, `veca, vecb, vecc` being non-colanar vectors.

Promotional Banner

Topper's Solved these Questions

  • VECTOR

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) LEVEL-II|6 Videos

  • VECTOR

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I|49 Videos

  • VECTOR

    FIITJEE|Exercise EXERCISE 7|2 Videos

  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

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).

The line vecr = (8vec - 9vecb + 10vecc) + lambda(3veca - 16vecb + 7vecc) and vecr = (15veca + 29vecb + 5vecc) + mu(3veca + 8vecb - 5vecc) are

Prove that the four points 2veca+3vecb-vecc, veca-2vecb+3vecc,3veca+4vecb-2vecc and veca-6vecb+6vecc are coplanar where veca,vecb,vecc are non-coplanar vectors

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

Solve veca.vecr=x, vecb.vecr=y, vecc.vecr=z , where veca,vecb,vecc are given non coplanar vectors.

If vecr.veca=vecr.vecb=vecr.vecc=0 " where "veca,vecb and vecc are non-coplanar, then

If veca,vecb,vecc are coplanar, show that veca+vecb, vecb+vecc, vecc+veca are also coplanar.

If vecp=2veca-3vecb, vecq=veca-2b+vecc, vecr=-3veca+vecb+2vecc, veca,vecb,vecc being non-zero, non-coplanar vectors, then -2veca+vecb-vecc is equal to

[(veca xxvecb)xx(vecb xx vecc) (vecb xxvecc) xx (vecc xxveca) (veccxxveca) xx (veca xx vecb)] is equal to ( where veca, vecb and vecc are non - zero non- colanar vectors).