Home
Class 12
MATHS
If a = i + j, b = j + k and c = i + k th...

If a = i + j, b = j + k and c = i + k then a unit vector in the direction of a - 2b + 3c is

A

`(1)/(sqrt(2))(4i-j+k)`

B

`(1)/(3 sqrt(2))(4i-j+k)`

C

`(1)/(3 sqrt(2))(4i+j-k)`

D

`(1)/(3 sqrt(3))(4i-2j-k)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 1|10 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 2|4 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4 (SPECIAL TYPE QUESTIONS)|15 Videos

Similar Questions

Explore conceptually related problems

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

If a = 3i - 2j + k and b = i + 2j + 5k, then the unit vector along a - b is

If a = 3i - 2j + k, b = -i + j + k then the unit vector parallel to the vector a + b is

If the position vectors of A, B are 2i - 9j - 4k, 6i - 3j + 8k then the unit vector in the direction of vec(A)B is

I : If a = 3i - 2j + k, b = 2i - 4j - 3k, c = -i + 2j + 2k then a + b + c = 4i + 4j II : If a = i - j + 2k, b = 2i + 3j + k, c = i - k, then magnitude of a + 2b - 3c is sqrt(78)

Let a = 2i - j + k, b = I + 2j - k and c = I + j - 2k be three vectors. A vector in the plane of b and c whose projection on a is of magnitude sqrt(2//3) is

If a = 3i - 2j + k, b = 2i - 4j - 3k, c = -i + 2j + 2k then a + b + c =

If a = I + j - k, b = I - j + k, c = I - j - k then a xx (b xx c) =

If a = 2i + 3j - 4k, b = I + j + k and c = 4i + 2j + 3k, then |a xx (b xx c)| =

Let bar(a) = 2bar(i) +4bar(j)-5bar(k), bar(b) = bar(i)+bar(j)+bar(k), bar(c ) = bar(j)+2bar(k) . Find the unit vector in the opposite direction of a + b + c

DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
  1. If a = 3i - 2j + k and b = i + 2j + 5k, then the unit vector along a -...

    Text Solution

    |

  2. If a = i + j - 2k, b = -i + 2j + k, c = i - 2j + 2k, then a unit vecto...

    Text Solution

    |

  3. If a = i + j, b = j + k and c = i + k then a unit vector in the direct...

    Text Solution

    |

  4. If lambda (2i - 4j + 4k) is a unit vector then lambda =

    Text Solution

    |

  5. If the vector a = 2i + 3j + 6k and b are collinear and |b| = 21, then ...

    Text Solution

    |

  6. If 2i + 3j - 6k, 6i - 2j + 3k, 3i - 6j - 2k represent the sides of a t...

    Text Solution

    |

  7. The points whose position vectors are 2i + 3j + 4k, 3i + 4j + 2k and 4...

    Text Solution

    |

  8. The three points whose position vectors are i + 2j + 3k, 3i + 4j + 7k ...

    Text Solution

    |

  9. The points whose position vectors are 2i + 3j + 4k, 3i + 4j + 2k and 4...

    Text Solution

    |

  10. If the position vectors of the vertices of a triangle are 2i - j + k, ...

    Text Solution

    |

  11. The points (1,1 ,1 ) ,(1,2,3 ),(2-1, 1 ) form

    Text Solution

    |

  12. The points 2a + 3b + c, a + b, 6a + 11b + 5c are

    Text Solution

    |

  13. The points 2i + j + k, 6i - j + 2k, 14i - 5j + 4k are

    Text Solution

    |

  14. The points (1, 2, 3), (3, 4, 7), (-3, -2, -5) are

    Text Solution

    |

  15. If the points whose position vectors are -2i + 3j + 5k, i + 2j + 3k, l...

    Text Solution

    |

  16. The vectors 5a + 6b + 7c, 7a - 8b + 9c, 3a + 20b + 5c are

    Text Solution

    |

  17. The points - a + 4b - 3c, 3a + 2b + 5c, -3a + 8b - 5c, -3a + 2b + c ar...

    Text Solution

    |

  18. The points 2i + j - k, i + j + k, 2i + 2j + k, 2j + 5k are

    Text Solution

    |

  19. The points i + j + k, i + 2j, 2i + 2j + k, 2i + 3j + 2k are

    Text Solution

    |

  20. The points (2, -1, 3), (-1, 2, -4), (-12, -1, -3), (6, 2, -1) are

    Text Solution

    |