Home
Class 12
MATHS
The direction cosines of the vectors vec...

The direction cosines of the vectors `vec(PQ)` where `vec(PQ)` = (1, 0, -2) and `vec(OQ)` = (3, -2, 0) are

A

2, -2, 2

B

4, -2, 2

C

`(1)/(sqrt(3)), -(1)/(sqrt(3)), (1)/(sqrt(3))`

D

`(2)/(sqrt(6)), -(1)/(sqrt(6)), (1)/(sqrt(6))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Odisha Bureau.s Textbook Solutions (Exercise 12(b))|32 Videos

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Odisha Bureau.s Textbook Solutions (Exercise 12(c))|28 Videos

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Questions for Practice (Part IV Vector (or Cross) Product of Two Vectors) Long Answer Type Questions|6 Videos

  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Chapter Practice|34 Videos

Similar Questions

Explore conceptually related problems

Prove by vector method that in any triangle ABC, the point P being on the side vec(BC) , if vec(PQ) is the resultant of the vectors vec(AP) , vec(PB) and vec(PC) , then ABQC is a parallelogram.

If vec a =(2,3,6) , vec b=(2,-2,1) , vec c=(-1,0,2) , find the direction cosines of vec b -vec a+2vec c and the unit vector in direction of vec b -vec a + 2vec c .

Prove that the four points with position vectors 2vec(a) + 3vec(b) - vec(c), vec(a) - 2vec(b) + 3vec(c) " , "3vec(a) + 4vec(b) - 2vec(c) and vec(a) - 6vec(b) + 6vec(c) are coplanar.

ARIHANT PUBLICATION-VECTOR ALGEBRA -Odisha Bureau.s Textbook Solutions (Exericise 12(a))
  1. If the position vectors of two points A and B are 3hati + hatk and 2ha...

    Text Solution

    |

  2. Each question given below has four possible answers out of which only ...

    Text Solution

    |

  3. The direction cosines of the vectors vec(PQ) where vec(PQ) = (1, 0, -2...

    Text Solution

    |

  4. Rectify the mistakes, if any a - a = 0

    Text Solution

    |

  5. Reactify the mistakes if any. The vector vec0 has unique direction.

    Text Solution

    |

  6. Reactify the mistakes if any. All unit vectors are equal.

    Text Solution

    |

  7. Rectify the mistakes, if any |a| = |b| rArr a = b

    Text Solution

    |

  8. Subtraction of two vectors is not commutative.

    Text Solution

    |

  9. If a = (2, 1), b = (-1, 0), find 3a + 2b.

    Text Solution

    |

  10. If a = (1, 1, 1), b = (-1, 3, 0) and c = (2, 0, 2), find a + 2b - (1)/...

    Text Solution

    |

  11. If A, B, C and D are the vertices of a square, find vec(AB) + vec(BC)+...

    Text Solution

    |

  12. The given points A, B, C are the vertices of a triangle. Determine the...

    Text Solution

    |

  13. The given points A, B, C are the vertices of a triangle. Determine the...

    Text Solution

    |

  14. Find the vector from origin to the mid-point of the vector vec(P1P2) j...

    Text Solution

    |

  15. Find the vectors from the origin to the points of trisection the vecto...

    Text Solution

    |

  16. Find the vectors from the origin to the intersection of the medians of...

    Text Solution

    |

  17. Prove that the sum of all the vectors drawn from the centre of a regul...

    Text Solution

    |

  18. Prove that the sum of the vectors represented by the sides of a closed...

    Text Solution

    |

  19. Prove that |a+b| le |a| + |b| State when equality will hold,

    Text Solution

    |

  20. Prove that |a-b| ge |a| - |b|

    Text Solution

    |