Home
Class 14
MATHS
If vec(a) is a non-zero vector of modulu...

If `vec(a)` is a non-zero vector of modulus a and `lamda` is a non-zero scalar and `lamda vec(a)` is a unit vector, then

A

`lamda = +- 1`

B

`vec(a) = |lamda|`

C

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

D

`vec(a) = (1)/(lamda)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    PUNEET DOGRA|Exercise Prev Year Questions|134 Videos
  • TRIGONOMETRY

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|163 Videos

Similar Questions

Explore conceptually related problems

If overline(a) is a non-zero vector of modulus a and m is non-zero scalar, then moverline(a) is a unit vector, if

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

If vec a is a non zero vector a magnitude a' and lambda is a non a zero scalar,then lambdavec a is a unit vector if lambda=1 b.lambda=-1 c.a-| lambda| d.a=(1)/(| lambda|)

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

If overline(a) is a non-zero vector and k is a scalar such that |koverline(a)|=1, then k=

Expression of a non-zero vector vec r as a linear combination of a non-zero vector vec a which is non-collinear with vec r and another vector perpendicular to vec a and coplanar with vec r and vec a is given as

If two non-zero vectors are perpendicular to each other then their Scalar product is equal to ?

If vec(c ) is the unit vector perpendicular to both the vector vec(a) and vec(b) , then what is another unit vector perpendicular to both the vectors vec(a) and vec(b) ?

PUNEET DOGRA-VECTOR-Prev Year Questions
  1. If vec(a) is a non-zero vector of modulus a and lamda is a non-zero sc...

    Text Solution

    |

  2. The projection of the vector vec(A)= hat(i)-2hat(j)+hat(k) on the vect...

    Text Solution

    |

  3. If the magnitude of sum of two vectors is equal to the magnitude of di...

    Text Solution

    |

  4. Simplify:- [(7)^2 + (9)^2]/5 = ?

    Text Solution

    |

  5. Consider the following statements: 1. The magnitude of vec(a) xx vec...

    Text Solution

    |

  6. If vec(a) and vec(b) are unit vectors and theta is the angle between t...

    Text Solution

    |

  7. If vec(a)= hat(i) - 2hat(j) + 5hat(k) and vec(b) = 2hat(i) + hat(j) -3...

    Text Solution

    |

  8. If position vectors of two points A and B are 3hat(i)- 2hat(j) + hat(k...

    Text Solution

    |

  9. In a right angled triangle hypotenuse AC= p, then vec(AB). vec(AC ) + ...

    Text Solution

    |

  10. Find th esine of angles between vectors vec(a)= 2hat(i) - 6hat(j) - 3h...

    Text Solution

    |

  11. Find the value of lamda for which 3hat(i) + 4hat(j) - hat(k) and -2 ha...

    Text Solution

    |

  12. In a triangle ABC, if taken in order, consider the following statement...

    Text Solution

    |

  13. A spacecraft at hat(i) + 2hat(j) + 3hat(k) is subjected to a force la...

    Text Solution

    |

  14. What is (vec(a)- vec(b)) xx (vec(a) + vec(b)) equal to ?

    Text Solution

    |

  15. Let vec(a).vec(b) and vec(c ) be three mutually perpendicular vectors ...

    Text Solution

    |

  16. If |vec(a) | = 3, |vec(b)|= 4 and |vec(a)- vec(b)|=5, then what si the...

    Text Solution

    |

  17. A unit vector perpendicular to each of the vectors 2hat(i) - hat(j) + ...

    Text Solution

    |

  18. If vec(r )= x hat(i) + y hat(j) + z hat(k), then what is vec(r ). (ha...

    Text Solution

    |

  19. Let |vec(a)| # 0.|vec(b)| ne 0 (vec(a) + vec(b)). (vec(a) + vec(b)) = ...

    Text Solution

    |

  20. If the vectors vec(k) and vec(A) are parallel to each other, then what...

    Text Solution

    |

  21. if vec(a) + 2vec(b) + 3vec(c ) = 0 and vec(a) xx vec(b) + vec(b) xx ve...

    Text Solution

    |