Home
Class 12
MATHS
If vec a is a vector and m is a scal...

If ` vec a` is a vector and `m` is a scalar such that `m vec a= vec0` , then what are the alternatives for `m` and ` vec a?`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ALGEBRA OF MATRICES

    RD SHARMA ENGLISH|Exercise All Questions|410 Videos
  • APPLICATION OF INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|163 Videos

Similar Questions

Explore conceptually related problems

If vec a\ is a non zero vecrtor iof modulus a and m is a non zero scalar such that m a is a unit vector, write the value of mdot

If vec(a) is a non-zero vector and m is a non-zero scalar, then m vec(a) is a unit vector if

If vec(a) and vec(b) are two vectors such that |vec(a) xx vec(b)| = vec(a).vec(b) , then what is the angle between vec(a) and vec(b) .

If vec a\ is a non zero vecrtor iof modulus vec a\ a n d\ m is a non zero scalar such that m a is a unit vector, then

If vec a , vec b , vec c are unit vectors such that vec a+ vec b+ vec c= vec0, then write the value of vec a . vec b+ vec b . vec c+ vec c . vec a

Two vectors vec(A) and vec(B) are such that |vec(A)+vec(B)|=|vec(A)-vec(B)| then what is the angle between vec(A) and vec(B) :-

If vec a\ .\ vec a=0 and vec a\ . vec b=0, then what can be concluded about the vector vec b ?

If vec a and vec b are two given vectors and k is any scalar, then find the vector vec r satisfying vec rxx vec a+k vec r= vec b .

Let vec a , vec b and vec c be unit vectors such that vec a+ vec b- vec c=0. If the area of triangle formed by vectors vec a and vec b is A , then what is the value of 4A^2?

If veca , vec b , vec c are three vectors such that veca+ vec b+ vec c= vec0 , then prove that vec axx vec b= vec bxx vec c= vec cxx vec a

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Give a condition that three vectors vec a , vec b and vec c from ...

    Text Solution

    |

  2. If vec a and vec b are two non-collinear vectors having the same ...

    Text Solution

    |

  3. If vec a is a vector and m is a scalar such that m vec a= vec0 ...

    Text Solution

    |

  4. If vec a , vec b are two vectors, then which of the following state...

    Text Solution

    |

  5. If vec a , vec b are two vectors ,then which of the following state...

    Text Solution

    |

  6. If vec a , vec b are two vectors, then which of the following state...

    Text Solution

    |

  7. A B C D is a quadrilateral. Find the sum the vectors vec B A , ve...

    Text Solution

    |

  8. A B C D E is pentagon, prove that vec A B + vec B C + vec C D +...

    Text Solution

    |

  9. A B C D E is pentagon, prove that vec A B+ vec A E+ vec B C+ vec ...

    Text Solution

    |

  10. Prove that the sum of all vectors drawn from the centre of a regular ...

    Text Solution

    |

  11. If P is a point and A B C D is a quadrilateral and vec A P+ vec...

    Text Solution

    |

  12. Five forces vec A B , vec A C , vec A D , vec A E and vec A F act...

    Text Solution

    |

  13. The position vectors of A, B,C and D are vec a , vec b , vec 2a+ vec ...

    Text Solution

    |

  14. Let ABCD be as parallelogram. If vec a ,\ vec b ,\ vec c be the pos...

    Text Solution

    |

  15. Find the position vector of a point R which divides the line joinin...

    Text Solution

    |

  16. Let vec a , vec b , vec c , vec d be the position vectors of the four...

    Text Solution

    |

  17. If vec a , vec b are the position vectors of A , B respectively, find...

    Text Solution

    |

  18. Show that the found points A ,B ,C ,D with position vectors vec a , v...

    Text Solution

    |

  19. Show that the four points P ,\ Q ,\ R ,\ S with position vectors vec ...

    Text Solution

    |

  20. The vertices A , B , C of triangle A B C have respectively position...

    Text Solution

    |