Home
Class 12
MATHS
Show that the vectors vec a , vec b and...

Show that the vectors ` vec a , vec b` and` vec c` are coplanar if ` vec a+ vec b , vec b+ vec c` and ` vec c+ vec a` are coplanar.

Promotional Banner

Topper's Solved these Questions

  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

Show that vectors vec a ,\ vec b ,\ vec c are coplanar if vec a+ vec b ,\ vec b+ vec c ,\ vec c+ vec a are coplanar.

Show that the vectors vec a - vec b, vec b - vec c , vec c - vec a are coplaner.

veca , vec b , vec c are non-coplanar vectors and x vec a + y vec b + z vec c = vec 0 then

Show that vec(a), vec(b), vec(c ) are coplanar if and only if vec(a) + vec(b), vec(b) + vec(c ), vec( c) + vec(a) are coplanar

Show that the vectors 2 vec a- vec b+3 vec c , vec a+ vec b-2 vec ca n d vec a+ vec b-3 vec c are non-coplanar vectors (where vec a , vec b , vec c are non-coplanar vectors)

Show that the vectors 2 vec a- vec b+3 vec c , vec a+ vec b-2 vec ca n d vec a+ vec b-3 vec c are non-coplanar vectors (where vec a , vec b , vec c are non-coplanar vectors)

Show that the vectors vec a-2 vec b+3 vec c , vec a-3 vec b+5 vec ca n d-2 vec a+3 vec b-4 vec c are coplanar, where vec a , vec b , vec c are non-coplanar.

If ( vec axx vec b)xx( vec bxx vec c)= vec b ,w h e r e vec a , vec b ,a n d vec c are nonzero vectors, then 1. vec a , vec b ,a n d vec c can be coplanar 2. vec a , vec b ,a n d vec c must be coplanar 3. vec a , vec b ,a n d vec c cannot be coplanar 4.none of these

If vec a , vec ba n d vec c are non-coplanar vectors, prove that the four points 2 vec a+3 vec b- vec c , vec a-2 vec b+3 vec c ,3 vec a+ 4 vec b-2 vec ca n d vec a-6 vec b+6 vec c are coplanar.

Prove that four points 2 vec a+3 vec b- vec c , vec a-2 vec b+3 vec c ,3 vec a+4 vec b-2 vec c and vec a-6 vec b+6 vec c are coplanar.

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find the particular solution of the differential equation (1-y^2)(1+lo...

    Text Solution

    |

  2. Find the general solution of the differential equation (1+y^(2))+(x-e^...

    Text Solution

    |

  3. Show that the vectors vec a , vec b and vec c are coplanar if vec a+...

    Text Solution

    |

  4. Find the vector and Cartesian equations of the line through the point ...

    Text Solution

    |

  5. The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and the...

    Text Solution

    |

  6. The two vectors hat j+ hat k and 3 hat i- hat j+4 hat k represent the...

    Text Solution

    |

  7. Prove that: tan^(-1)1/5+tan^(-1)1/7+tan^(-1)1/3+tan^(-1)1/8=pi/4

    Text Solution

    |

  8. Find : int((3sintheta-2)costheta)/(5-cos^2theta-4sintheta)dthetathet...

    Text Solution

    |

  9. Evaluate : int0^pie^(2x)dotsin(pi/4+x)dx

    Text Solution

    |

  10. If x=sint and y=sinp t , prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^...

    Text Solution

    |

  11. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) with respect to sin^(-1)...

    Text Solution

    |

  12. If A=(cosalpha-sinalpha0sinalphacosalpha0 0 0 1), find a d jdotA and v...

    Text Solution

    |

  13. If a ,b and c are all non-zero and |[1+a,1, 1],[ 1,1+b,1],[1,1,1+c]|=0...

    Text Solution

    |

  14. Find the values of a and b , if the function f defined by f(x)={x^2...

    Text Solution

    |

  15. A coaching institute of English (subject) conducts classes in two batc...

    Text Solution

    |

  16. If 213(-1 0-1-1 1 0 0 1 1)(1 0-1)=A , then write the order of matrix A...

    Text Solution

    |

  17. If A=(3 5 7 9) is written as A = P + Q, where P is a symmetric matrix ...

    Text Solution

    |

  18. If |[x,si ntheta,costheta],[-si ntheta,-x,1],[costheta,1 ,x]|=8, writ...

    Text Solution

    |

  19. If | vec a X vec b|^2+| vec adot vec b|^2=400 and | vec a|=5, then wri...

    Text Solution

    |

  20. If vec a , vec b , vec c are unit vectors such that vec a+ vec b+ ve...

    Text Solution

    |