Home
Class 12
MATHS
If veca is a nonzero vector of magnitude...

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

A

`lambda=1`

B

`lambda=-1`

C

`a=|lambda|`

D

`a=1/(|lambda|)`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MODERN PUBLICATION|Exercise Exercise|500 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

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

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

What is the magnitude of a unit vector ?

If veca is any vector, then veca*veca is :

Is torque a scalar or a vector quantity?

MODERN PUBLICATION-VECTORS-Exercise
  1. Show that the points A(1,2,7), B(2,6,3) ਅਤੇ C(3,10,-1) are collinear.

    Text Solution

    |

  2. Using vector method, show that the points whose position vectors are ,...

    Text Solution

    |

  3. If veca is a nonzero vector of magnitude 'a' and lambda a nonzero s...

    Text Solution

    |

  4. Find |vecaxxvecb| if veca=hati-7hatj+7hatk and vceb=3hati-2hatj+2hatk.

    Text Solution

    |

  5. Find a unit vector perpendicular to each of the vector veca + vecb and...

    Text Solution

    |

  6. If a unit vector veca, makes angles pi/3with hati, pi/4wih hatj and...

    Text Solution

    |

  7. Show that (veca-vecb)xx(veca+vecb)=2(vecaxxvecb).

    Text Solution

    |

  8. Find lambda and mu if : (2hati+6hatj+27hatk)xx(hati+lambdahatj+muhatk)...

    Text Solution

    |

  9. Given that veca cdot vecb = 0 and vecaxxvecb = vec0. What can you conc...

    Text Solution

    |

  10. Let the vectors veca,vecb,vecc be given as : a1hati+a2hatj+a3hatk,b1ha...

    Text Solution

    |

  11. If either veca = vec0or vecb = vec0 then vecaxxvecb= vec0. Is the con...

    Text Solution

    |

  12. Find the area of the triangle with vertices A(1,12), B(2,3,5), C(1,5,5...

    Text Solution

    |

  13. Determine the area of a parallelogram whose adjacent sides are represe...

    Text Solution

    |

  14. Let the vectors veca and vecb be such that |veca| = 3 and |vecb| = sqr...

    Text Solution

    |

  15. Area of a rectangle having vertices A, B, C and D with position vector...

    Text Solution

    |

  16. Write down a unit vector in XY-plane, making an angle of 30^o with the...

    Text Solution

    |

  17. Find the scalar components and magnitude of the vector joining the poi...

    Text Solution

    |

  18. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

    Text Solution

    |

  19. If veca = vecb + vecc, then is it true that |veca| = |vecb| + |vecc|?...

    Text Solution

    |

  20. Find the value of x for which x(hati + hatj + hatk) is a unit vector.

    Text Solution

    |