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

If a is a non-zero vector of magnitude'a' and `lambda` a non-zero scalar, then `lambda oversetrarra` is a unit vector if: a)`lambda = 1` b)`lambda = -1` c)`a=|lambda|` d)`a =1/(|lambda|)`

A

lambda=1'

B

lambda=-1'

C

a=|lambda|',

D

1/(|lambda|)'

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise QUESTION BANK|103 Videos

Similar Questions

Explore conceptually related problems

The equations lambda x -y = 2 ,2 x -3 y = - lambda and 3x - 2y = - 1 are consistent for a) lambda=-4 b) lambda=1,4 c) lambda=1,-4 d) lambda=-1,4

Momentum of a photon with wavelength lambda is

If the slope of the .line joíning (2,5) and (3, lambda) is -2 , find the value of lambda .

If (1,2,4) and (2,-3 lambda , -3 ) are the initial and terminal points of the vector i+5j - 7k , then the value of lambda is

(a)Plane XOZ divides the join of (1,-1,5) and (2,3,4) in the ratio lambda:1 then lambda is

If a + 2b - c = 0 and a xx b + b xx c + c xx a = lambda (a xx b) , then the value of lambda is equal to a)5 b)4 c)2 d)-2

V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Using vectors, show that the points A(1,2,7),B(2,6,3),C(3,10,-1) are...

    Text Solution

    |

  2. Show that the vectors 2 hati-hatj+hatk, hati-3 hatj-5 hatk and 3 hati-...

    Text Solution

    |

  3. If a is a non-zero vector of magnitude'a' and lambda a non-zero scala...

    Text Solution

    |

  4. Show that the area of a parallelogram with diagonals veca and vecb is ...

    Text Solution

    |

  5. Find |veca xx vecb| if veca=2 hati+hatj+3 hatk and vecb=3 hati+5 hatj-...

    Text Solution

    |

  6. Find a unit vector perpendicular to each of the vectors (veca +vecb) a...

    Text Solution

    |

  7. Consider the triangle ABC with vertices A(1,1,1), B(1,2,3) and C(2,3,1...

    Text Solution

    |

  8. Find the area of a parallelogram whose adjacent sides are given by the...

    Text Solution

    |

  9. Find |veca xx vecb|, if. veca=hati-7 hatj+7 hatk and vecb=3 hati-2 h...

    Text Solution

    |

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

    Text Solution

    |

  11. Choose the correct answer from the backet. If a unit vector hata makes...

    Text Solution

    |

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

    Text Solution

    |

  13. Find lambdaand mu if (2overset^^i+6overset^^j+27overset^^k)xx(overset^...

    Text Solution

    |

  14. Given that oversetrarra.oversetrarrb=0"and"oversetrarraxxoversetrarrb=...

    Text Solution

    |

  15. Let the vectors 'veca, vecb, vecc' be given as 'a1 hati+a2 hatj+a3 hat...

    Text Solution

    |

  16. If either veca=vec0"or" vecb =vec0, "then"vecaxxvecb=vec0.Is the conve...

    Text Solution

    |

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

    Text Solution

    |

  18. Find the area of the parallelogram whose adjacent sides are determined...

    Text Solution

    |

  19. Let the vectorsveca"and"vecbbe such that |veca|=3"and"|vecb|=sqrt2/3,...

    Text Solution

    |

  20. Area of a rectangle having vertices 'A, B, C' and 'D' with position ve...

    Text Solution

    |