Home
Class 12
MATHS
Given two vectors hati + hatj and hati +...

Given two vectors `hati + hatj and hati +2 hatj,` the unit vector coplanar with the two vectors and perpendicular to first is :

A

`(1)/(sqrt2) (hati + hatj)`

B

`(1)/(sqrt5) (2 hati + hatj)`

C

`pm (1)/(sqrt2) (hati + hatk)`

D

None of these.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|16 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTION|11 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTION|11 Videos

  • UNIT TEST PAPER NO.3

    MODERN PUBLICATION|Exercise ASSERTION-REASON & COLUMN MATCHING TYPE QUESTIONS (SECTION-B COLUMN MATCHING TYPE QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

Given two vectors hati-hatj and hati + 2 hatj. The unit vector, coplanar with the two given vectors and perpendicular to (hati - hatj) is :

Given two vectors hat i-hatj and hat i +2 hatj the unit vector coplanar with the two given vectors and perpendicular to (hati-hatj) is

If a=2hati+5hatj and b=2hati-hatj , then the unit vector along a+b will be

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

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

A line passes through the points whose position vectors are hati+hatj-2hatk and hati-3hatj+hatk . The position vector of a point on it at unit distance from the first point is

MODERN PUBLICATION-VECTOR ALGEBRA -Multiple Choice Question (Level-II)
  1. If veca,vecb,vecc are unit vectors, then : |veca -vecb|^(2)+|vecb -v...

    Text Solution

    |

  2. If veca = ahti - ahtk, vecb = x hati + hatj + (1-x) hatk and vecc = y ...

    Text Solution

    |

  3. Given two vectors hati + hatj and hati +2 hatj, the unit vector coplan...

    Text Solution

    |

  4. If veca = 3 hati - 5 hatj and vecb = 6 hati + 3 hatj are two vectors ...

    Text Solution

    |

  5. Let vecv = 2hati + 2hatj - hatk and vecw = hati + 3hatk. If vecu is a ...

    Text Solution

    |

  6. If veca and vecb are two unit vectors such that veca + 2 vecb and 5 v...

    Text Solution

    |

  7. If vecu, vecv and vecw are three non-coplanar vectors, then : (vecu ...

    Text Solution

    |

  8. Let vecu = hati+ hatj, vecv = hati - hatj and vecw= hati + 2 hatj + 3 ...

    Text Solution

    |

  9. Let veca, vecb and vecc be three non-zero vectors such that no two of ...

    Text Solution

    |

  10. Let veca, vecb, and vecc be three non-zero vectors such that no two of...

    Text Solution

    |

  11. If veca = (hati +hat j + hatk), veca.vecb=1 and veca xx vecb=hatj-hatk...

    Text Solution

    |

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

    Text Solution

    |

  13. If hatu and hatv are unit vactors and theta is the angle between them,...

    Text Solution

    |

  14. Let veca = hat i + hatj + hatk, vecb = hati + 2 hatk and vecc = x hati...

    Text Solution

    |

  15. The vector veca = alpha hati + 2 hatj + beta hatk lies in the plance o...

    Text Solution

    |

  16. The non-zero vectors veca, vecb and vecc are related by veca = 8 vecb ...

    Text Solution

    |

  17. Let the vectors veca, vecb, vecc and vecd be such that (veca xx vecb) ...

    Text Solution

    |

  18. The unit vector which is orthgonal to the vector veca=3hati+2hatj+6hat...

    Text Solution

    |

  19. If veca, vecb, vecc are three non-zero, non-coplanar vectors and vec...

    Text Solution

    |

  20. Let veca = hati + hatj + hatk, vecb = hati - ahtj + hatk and hati - ha...

    Text Solution

    |