Home
Class 12
MATHS
If veca is a non-zero vector of modulus ...

If `veca` is a non-zero vector of modulus a and m is a non-zero scalar, then `mveca` is a unit vector if

A

`m=pm1`

B

`m=|vec a|`

C

`m=(1)/(|vec a|)`

D

`m = pm 2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA OF VECTORS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • ALGEBRA OF VECTORS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • ALGEBRAIC INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|39 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\ 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) is a non zero vector of magnitude 'a' and lambda a non zero scalar, then lambda vec(a) is unit vector if

If vec(a) is a vector and x is a non-zero scalar, then

Let a, b and c be non-zero vectors and |a|=1 and r is a non-zero vector such that r times a=b and r*a=1 , then

Let vecx, vecy and vecz be three vectors each of magnitude sqrt2 and the angle between each pair of them is pi/3 if veca is a non-zero vector perpendicular to vecx and vecy xx vecz and vecb is a non-zero vector perpendicular to vecy and vecz xx vecx , then

Is it possible that two non - zero vectors multiply and give a zero result ?

If non-zero vectors veca and vecb are equally inclined to coplanar vector vecc , then vecc can be

If vectors veca and vecb are non collinear then veca/(|veca|)+vecb/(|vecb|) is (A) a unit vector (B) in the plane of veca and vecb (C) equally inclined to veca and vecb (D) perpendicular to veca xx vecb

OBJECTIVE RD SHARMA ENGLISH-ALGEBRA OF VECTORS-Exercise
  1. The vectors 2hati+3hatj, 5hati+6hatj and 8hati+lamdahatj have their in...

    Text Solution

    |

  2. If 4 hati + 7 hat j + 8 hatk, 2 hati +3 hatj + 4 hatk and 2 hati +...

    Text Solution

    |

  3. If veca is a non-zero vector of modulus a and m is a non-zero scalar, ...

    Text Solution

    |

  4. D, E and F are the mid-points of the sides BC, CA and AB respectively ...

    Text Solution

    |

  5. If vec a ,\ vec b ,\ vec c are the position vectors of the vertices...

    Text Solution

    |

  6. If P, Q, R are three points with respective position vectors hati + ha...

    Text Solution

    |

  7. Let ABC be a triangle, the position vectors of whose vertices are 7hat...

    Text Solution

    |

  8. If vec a = hati + 2 hatj + 2 hat k and vec b = 3 hati + 6 hatj + 2 h...

    Text Solution

    |

  9. veca , vec b , vec c are non-coplanar vectors and x vec a + y vec b ...

    Text Solution

    |

  10. The vector vec c , directed along the internal bisector of the angle...

    Text Solution

    |

  11. A, B have vectors vec a , vec b relative to the origin O and X, Y d...

    Text Solution

    |

  12. If a vector ofmagnitude 50 is collinear with vector vecb = 6 hat i - 8...

    Text Solution

    |

  13. The vector vec c , directed along the internal bisector of the angle...

    Text Solution

    |

  14. Let vec a , vec b ,vec c are three non- coplanar vectors such that ...

    Text Solution

    |

  15. If vec a, vec b , vec c are three non- coplanar vectors such that v...

    Text Solution

    |

  16. veca, vecb ,vecc are three non zero vectors no two of which are collon...

    Text Solution

    |

  17. Let alpha,beta and gamma be distinct real numbers. The points with pos...

    Text Solution

    |

  18. The points with position vectors 60hati+3hatj,40hati-8hatj, ahati-52ha...

    Text Solution

    |

  19. If the points with position vectors 10 hat i+3 hat j ,12 hat i-5 ha...

    Text Solution

    |

  20. If C is the middle point of AB and P is any point outside AB, then

    Text Solution

    |