Home
Class 12
MATHS
The unit vector which is orthogonal to t...

The unit vector which is orthogonal to the vector `5hati + 2hatj + 6hatk ` and is coplanar with vectors `2hati + hatj + hatk and hati - hatj + hatk ` is (a) `(2hati - 6hatj + hatk)/sqrt41` (b) `(2hati-3hatj)/sqrt13` (c) `(3 hatj -hatk)/sqrt10` (d) `(4hati + 3hatj - 3hatk)/sqrt34`

A

`(2hati-6hatj+hatk)/(sqrt(41))`

B

`(2hati-3hatj)/(sqrt(13))`

C

`(3hatj-hatk)/(sqrt(10))`

D

`(4hati+3hatj-3hatk)/(sqrt(34))`.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise JEE Type Solved Examples: Passage Based Type Questions|3 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|12 Videos

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|54 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

The unit vector which is orhtogonal to the vector 3hati+2hatj+6hatk and is coplanar with vectors 2hati+hatj+hatk and hati-hatj+hatk , is

The unit vector which is orthogonal to the vector 3hati+2hatj+6hatk and is coplanar with the vectors 2hati+hatj+hatk and hati-hatj+hatk is (A) (2hati-6hatj+hatk)/sqrt(41) (B) (2hati-3hatj)/sqrt(3) (C) 3hatj-hatk)/sqrt(10) (D) (4hati+3hatj-3hatk)/sqrt(34)

Unit vector perpnicular to vector A=-3hati-2hatj -3hatk and 2hati + 4hatj +6hatk is

If the vectors a hati + 3 hatj - 2 hatk and 3 hati - 4 hatj + b hatk are collinear, then (a,b) =

Find the angle between the vectors 4hati-2hatj+4hatk and 3hati-6hatj-2hatk.

A vector coplanar with vectors hati + hatj and hat j + hatk and parallel to the vector 2hati -2 hatj - 4 hatk , is

Show that the vectors 2hati-hatj+hatk and hati-3hatj-5hatk are at righat angles.

The unit vector perpendicular to the vectors 6hati+2hatj+3hatk and 3hati-6hatj-2hatk , is

Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are collinear.

Find a unit vector perpendicular to both the vectors 2hati+3hatj+hatk) and (hati-hatj+2hatk) .

ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The unit vector which is orthogonal to the vector 5hati + 2hatj + 6hat...

    Text Solution

    |

  2. Let O be the origin and let PQR be an arbitrary triangle. The point S ...

    Text Solution

    |

  3. Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...

    Text Solution

    |

  4. Let O be the origin, and O X , O Y , O Z be three unit vectors ...

    Text Solution

    |

  5. Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...

    Text Solution

    |

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

    Text Solution

    |

  7. If vec a , vec ba n d vec c are unit vectors satisfying | vec a- v...

    Text Solution

    |

  8. The vector(s) which is/are coplanar with vectors hat i+ hat j+2 hat...

    Text Solution

    |

  9. Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec ...

    Text Solution

    |

  10. Two adjacent sides of a parallelogram A B C D are given by vec A B=...

    Text Solution

    |

  11. Let P,Q R and S be the points on the plane with position vectors -2hat...

    Text Solution

    |

  12. If aa n db are vectors in space given by vec a=( hat i-2 hat j)/(sq...

    Text Solution

    |

  13. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...

    Text Solution

    |

  14. The edges of a parallelopiped are of unit length and are parallel to ...

    Text Solution

    |

  15. Let two non-collinear unit vectors veca and vecb form an acute angle. ...

    Text Solution

    |

  16. Let the vectors PQ,OR,RS,ST,TU and UP represent the sides of a regular...

    Text Solution

    |

  17. The number of distinct real values of lambda , for which the vectors...

    Text Solution

    |

  18. Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0. Whic...

    Text Solution

    |

  19. Let vec A be a vector parallel to the line of intersection of plan...

    Text Solution

    |

  20. Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec...

    Text Solution

    |

  21. The unit vector which is orthogonal to the vector 3hati+2hatj+6hatk an...

    Text Solution

    |