Home
Class 12
MATHS
A unit vector perpendicular to the plane...

A unit vector perpendicular to the plane of a = 2i - 6j -3k, b = 4i + 3j - k is

A

`(4i + 3j - k)/(sqrt(26))`

B

`(2i - 6j - 3k)/(7)`

C

`(3i - 2j + 6k)/(7)`

D

`(2i - 3j - 6k)/(7)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1C (Triple product of Vectors|112 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -A|13 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1A|50 Videos

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET-4|5 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

Similar Questions

Explore conceptually related problems

The unit vector perpendicular to each of the vectors 2i - j + k and 3i + 4j - k is

The unit vector normal to the plane containing a = I - j - k and b = I + j + k is

A unit vector perpendicular to 2i + 3j + 4k and 4i - 3j + 2k is

A : A vector perpendicular to both I + j + k and 2i + j + 3k is 2i - j - k R : Every vector perpendicular to plane containing a,b is equal to a xx b

Find a unit vector perpendicular to the plane containing the vector bar(a) = 4bar(i) + 3bar(j) - bar(k), bar(b) = 2bar(i) - 6bar(j) - 3bar(k)

A unit vector perpendicular to each of the vector 3i+2j+4k and 2i+j-k is,

A unit vector parallel to the sum of the vectors 2i + 4j - 5k, i + 2j + 3k are

A : The vector equation of the plane passing through the point (2,-1,-4) and perpendicular to the vector 4i - 12j - 3k is [r - (2i - j - 4k)]. (4i - 12j - 3k) = 0 R : the vector equation of the plane passing through the point a and perpendicular to the vector m is (r - a) m = 0

DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1B Cross Product of Vectors
  1. A unit vector perpendicular to 2i + 3j + 4k and 4i - 3j + 2k is

    Text Solution

    |

  2. The unit vector normal to the plane containing a = I - j - k and b = I...

    Text Solution

    |

  3. A unit vector perpendicular to the plane of a = 2i - 6j -3k, b = 4i + ...

    Text Solution

    |

  4. The number of vectors of unit length perpendicular to the vectors a = ...

    Text Solution

    |

  5. A unit vector perpendicular to the plane determined by the points P(1,...

    Text Solution

    |

  6. A unit vector normal to the plane through the point I, 2j, 3k is

    Text Solution

    |

  7. The unit vector orthogonal to a = 2i + 2j + k, b = 3i + 4j - 12k and f...

    Text Solution

    |

  8. If a = 2i + j - 3k, b = 1 - 2j + k then the vector of length 2 sqrt(3)...

    Text Solution

    |

  9. The sine of the angle between the vectors I + 3j - 2k, 2i - 4j - k is

    Text Solution

    |

  10. If theta is th angle between the vector 2i - 2j + 4k and 3i + j + 2k, ...

    Text Solution

    |

  11. If a = 2i + 3j + 6k, b = 3i - 6j + 2k, c = 6i + 2j - 3k then a xx b =

    Text Solution

    |

  12. If 13 a = 3i + 4j + 12k, 13b = 4i - 12j + 3k, 13 c = 12i + 3j - 4k the...

    Text Solution

    |

  13. If (2i + 4j + 2k) xx (2i - xj + 5k) = 16i - 6j + 2xk, then the value o...

    Text Solution

    |

  14. If a = 2i - 3j - k, b = I + 4j - 2k then (a + b) xx (a - b) =

    Text Solution

    |

  15. If a = 3i - j - 2k, b = 2i + 3j + k then (a + 2b) xx (2a - b) =

    Text Solution

    |

  16. If a = I + 2j - 3k, b = 2i + j + k, c = I + 3j - 2k then (a xx b) xx (...

    Text Solution

    |

  17. 2i xx (3i - 4k) + (I + 2j) xx k =

    Text Solution

    |

  18. If r = xi + yj + zk then (r xx i) .(r xx j) + xy =

    Text Solution

    |

  19. If |a| = 1, |b| = 2 and the angle between a and b is 120, then {(a + 3...

    Text Solution

    |

  20. (a + b) xx c + (b + c) xx a + (c + a) xx b =

    Text Solution

    |