Home
Class 12
MATHS
The unit vector perpendicular to the vec...

The unit vector perpendicular to the vectors `hati - hatj and hati + hatj` forming a right-handed system is :

A

k

B

minus k

C

(i-j)/2

D

(i+j)/2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|194 Videos

Similar Questions

Explore conceptually related problems

The unit vector perpendicular to vectors hati - hatj and hati + hatj forming a right-handed system is :

A unit vector perpendicular to both hati+hatj+hatk and 2hati+hatj+3hatk is

A unit vector perpendicular to the two vectors hati + 2hatj - hatk and 2hati + 3hatj + hatk is equal to

Find a unit vector parallel to the vector -3hati+4hatj .

A vector perpendicular to both the vectors (2hati+3hatj+hatk) and (hati-hatj+2hatk) is

The angle between the vector hati - hatj and hatj - hatk is :

A unit vector perpendicular to the plane containing the vectors hati+2hatj+hatk and -2hati+hatj+3hatk is

A unit vector perpendicular to the plane containing the vectors hati+2hatj+hatk and -2hati+hatj+3hatk is

Find unit vector in the direction of vector hati+hatj+2hatk

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. The vector in the direction of the vector i-2j+2k that has magnitude 9...

    Text Solution

    |

  2. If |vec a| =3 and -1 le k le 2, then |k vec a| lies in the interval

    Text Solution

    |

  3. The unit vector perpendicular to the vectors hati - hatj and hati + ha...

    Text Solution

    |

  4. If vec a and vec b are unit vectors, then angle between vec a and vec...

    Text Solution

    |

  5. If theta is the angle between any two vector vec a and vec b, then |ve...

    Text Solution

    |

  6. I . (j xx k) + j . (k xx i) + k . (i xx j) =

    Text Solution

    |

  7. Let vec a . vec b be two unit vectors and theta is the angle between t...

    Text Solution

    |

  8. If theta is the angle between two vectors vec a and vec b, then vec a ...

    Text Solution

    |

  9. Area of a rectangle having vertices A(-hat(i)+(1)/(2)hat(j)+4hat(k)), ...

    Text Solution

    |

  10. Let the vectors vec a and vec b be such that |vec a| = 3 and |vec b| =...

    Text Solution

    |

  11. If veca is a non-zero vector of magnitude a and vec(lamda a) a is a un...

    Text Solution

    |

  12. If ABCDEF is a regular hexagon then vec AD + vec EB + vec FC =

    Text Solution

    |

  13. If A, B, C are the vertices of a triangle whose position vectors are v...

    Text Solution

    |

  14. A unit vector parallel to the sum of the vectors 2 i + 3j -k and 4i...

    Text Solution

    |

  15. If vec a and vec b are vectors such that |vec a + vec b| = |vec a - ve...

    Text Solution

    |

  16. Given vec a = i+j-k, vec b = -i+2j+k and vec c = -i+2j-k, a unit vecto...

    Text Solution

    |

  17. The direction cosines of the vector, 3i-4j+5k are

    Text Solution

    |

  18. If vec c is a unit vector perpendicular to vec a and vec b then the se...

    Text Solution

    |

  19. The area pf the triangle whose two sides are given by 4i - j + k and ...

    Text Solution

    |

  20. The adjacent sides of a parallelogram are i+2j+3k and 2i-j+k. Its area...

    Text Solution

    |