Home
Class 12
MATHS
If a is a non-zero vector of magnitude V...

If a is a non-zero vector of magnitude V a is a non-zero scalar, then X am is unit vector.

A

`lambda=1`

B

`lambda=-1`

C

`a=|lambda|`

D

`a=1/(|lambda|)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTION FROM MISCELLANEOUS EXERCISE |10 Videos

  • THREE DIMENSIONAL GEOMETRY

    OMEGA PUBLICATION|Exercise Questions |72 Videos

Similar Questions

Explore conceptually related problems

If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar, then λ vec a is unit vector if λ = - 1

If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar, then λ vec a is unit vector if a = |λ|

If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar, then λ vec a is unit vector if λ =1

If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar, then λ vec a is unit vector if a = 1/ |λ|

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

If veca is a nonzero vector of magnitude 'a' and lambda a nonzero scalar, then lambdaveca is unit vector if:

If veca is a non-zero vector of magnitude 'a' and 'lambda' is a non-zero scalar, such that |lambdaveca|=1 , then :

A vector with magnitude zero is called a

If vec a is a non-zero vector and λ is a real number st. |λ vec a|= 1 , then |λ| is equal to......

Why is zero vector needed?

OMEGA PUBLICATION-VECTOR ALGEBRA -MULTIPLE CHOICE QUESTIONS (MCQs)
  1. Prove that in any triangle ABC , c = a cos(360-B) + b cos(360-A)

    Text Solution

    |

  2. If veca and vecb are two collinear vectors, then which of the followin...

    Text Solution

    |

  3. If a is a non-zero vector of magnitude V a is a non-zero scalar, then ...

    Text Solution

    |

  4. Let the vectors veca and vecb be such that |veca|=3 and |vecb|=(sqrt2)...

    Text Solution

    |

  5. Area of a rectangle having vertices : A(-hati+1/2 hatj+4hatk),B(hati+1...

    Text Solution

    |

  6. If theta is the angle between two vectors veca and vecb, then veca c...

    Text Solution

    |

  7. Let veca and vecb be two unit vectors and theta is the angle between t...

    Text Solution

    |

  8. If (hati,hatj,hatk) are the usual three perpendicular unit vectors, th...

    Text Solution

    |

  9. Using vectors, find the area of the triangle having vertices A (1, 1, ...

    Text Solution

    |

  10. the angle between vectors veca × vecb and vecb × veca is

    Text Solution

    |

  11. Show that the area of the parallelogram with diagonals veca and vecb, ...

    Text Solution

    |

  12. The area of triangle having adjacent sides veca and vecb is :

    Text Solution

    |

  13. The value of : hati*(hatjxxhatk)+hatj*(hatixxhatk)+hatk*(hatixxhatj) i...

    Text Solution

    |

  14. If theta is the angle between two vectors veca and vecb, then |veca*ve...

    Text Solution

    |

  15. If veca*vecb=-|veca||vecb|, then theta=

    Text Solution

    |

  16. The projection of the vector veca=2hati+3hatj+2hatk on the vector vecb...

    Text Solution

    |

  17. The product of veca.vecb equals to:

    Text Solution

    |

  18. The product of veca.vecb equals to:

    Text Solution

    |

  19. The vectors a and b are perpendicular, if

    Text Solution

    |

  20. If veca xx vecb=|veca||vecb| sin theta hatn which one is correct

    Text Solution

    |