Home
Class 12
MATHS
If vec u = i+j, vec nu = i-j, and vec w ...

If `vec u = i+j, vec nu = i-j`, and `vec w = i+2j+3k`. If `hat n` is a unit vector such that `vec u . hat n = 0, vec nu . hat n = 0` then `|vec w . hat n| =`

A

1

B

2

C

3

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|194 Videos

Similar Questions

Explore conceptually related problems

Let vec a = i-j, vec b = j-k, vec c = k-i . If vec d is a unit vectors such that vec a. vec d = 0 = [vec b vec c vec d] , then vec d =

If vec a = i+j-2k, vec b = -i+2j+k and vec c = i-2j+2k then a unit vector parallel to vec a + vec b + vec c is

Let vec nu = 2i+j-k and vec w = i+3k . If vec u is a unit vector, then the maximum values of the scalar triple proudct [vec u vec nu vec w] =

Given vec a = i+j-k, vec b = -i+2j+k and vec c = -i+2j-k , a unit vector perpendicular to both vec a + vec b and vec b + vec c is

Find vec a +vec b if vec a = hat i - hat j and vec b =2 hat i

If vec a = -i +j +k, vec b = i-j+k , then a unit vector perpendicular to vec a and vec b is

Find unit vector in which the direction of vector vec a = 2 hat i + 3 hat j + hat k .

If vec u, vec nu, vec w be such that |vec u| =1, |vec nu| = 2, |vec w| = 3 . If the projection vec nu along vec u is equal to that of vec w along vec u , vec nu and vec w are perpendicular to each other, then |vec u - vec nu + vec w| =

If vec a . i = vec a . (2i+j) = vec a . (i+j+3k) = 1 , then vec a =

If vec u = vec a - vec b, vec nu = vec a + vec b and |vec a| = |vec b| =2 , then |vec u xx vec nu| is

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. The vector hati + hatj + 3 hatk is rotated through an angle theta and...

    Text Solution

    |

  2. If vec u, vec nu, vec w are three non-coplanar vectors, then (vec u + ...

    Text Solution

    |

  3. If vec u = i+j, vec nu = i-j, and vec w = i+2j+3k. If hat n is a unit ...

    Text Solution

    |

  4. The vectro vec(AB)= 3 hatj + 4 hatk and vec(AC) = 5 hati - 2 hatj + 4 ...

    Text Solution

    |

  5. vec a, vec b, vec c are three vectors such that vec a + vec b + vec c ...

    Text Solution

    |

  6. A particle acted by constant forces 4 hati + hatj - 3 hatk and 3 hati ...

    Text Solution

    |

  7. If veca, vecb, vecc are non-coplanar vectors and lamda is a real numbe...

    Text Solution

    |

  8. Let vec a, vec b and vec c be three non zero vectors such that no two ...

    Text Solution

    |

  9. If vec u, vec nu, vec w be such that |vec u| =1, |vec nu| = 2, |vec w|...

    Text Solution

    |

  10. Let veca,vecb and vec c be three non zero vectors such that no two o...

    Text Solution

    |

  11. If vec a = i-k, vec b = i+j+(1-x)k and vec c = yi+xj+(1+x-y)k then [ve...

    Text Solution

    |

  12. If a, b and c be distinct non negative numbers. If the vectors ai+aj+c...

    Text Solution

    |

  13. For any vector vec a, the value of (vec a xx i)^(2) + (vec a xx j)^(2)...

    Text Solution

    |

  14. If C is the mid-point of AB and P is an7y pont outside AB, then :

    Text Solution

    |

  15. If (vec a xx vec b) xx vec c = vec a xx (vec b xx vec c), where vec a,...

    Text Solution

    |

  16. The values of 'a' for which the points A, B, C with position vectors 2...

    Text Solution

    |

  17. Let vec a, vec b and vec c of magnitudes 3,4 and 5 repectively. If vec...

    Text Solution

    |

  18. If ai+j+k, i+bj+k and i+j+ck are coplanar, then

    Text Solution

    |

  19. If ABCD is a quadrilateral with vec AB = vec a, vec AD = vec b and vec...

    Text Solution

    |

  20. A unit vector coplanar with i+j+2k and i+2j+k and perpendicular to i+j...

    Text Solution

    |