Home
Class 12
MATHS
In each of the following find the vector...

In each of the following find the vector `vec(PQ), its magnitude and direction cosines, if P and Q have co-ordinates.
P(2,-1,-1), Q(-1,-3,2)

Text Solution

Verified by Experts

`vec(PQ) = (-1-2)hati+(-3+1)hatj+(2+1)hatk = -3hati-2hatj+3hatk`
`|vec(PQ)| = sqrt(9+4+9) = sqrt(22)`
D. cs. of `vec(PQ)` are `-3/sqrt(22), -2/sqrt(22), 3/sqrt(22)`.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

In each of the following find the vector vec(PQ), its magnitude and direction cosines, if P and Q have co-ordinates. P(3,-1,7), Q(4,-3,-1).

Find the magnitude of the vector vec(PQ) , its scalar components and the component vectors along the co-ordinate axes, if P and Q have the co-ordinates P(-1,30, Q(1,2)

Find the magnitude of the vector vec(PQ) , its scalar components and the component vectors along the co-ordinate axes, if P and Q have the co-ordinates P(-1,-2), Q(-5,-6)

Find the magnitude of the vector vec(PQ) , its scalar components and the component vectors along the co-ordinate axes, if P and Q have the co-ordinates P(1,4,-), Q(2,-2,-1)

Find the direction cosines of the line segment joining (1,-1,2) and (2,1,1).

MBD PUBLICATION-VECTORS-QUESTION BANK
  1. Find the magnitude of the vector vec(PQ), its scalar components and th...

    Text Solution

    |

  2. Find the magnitude of the vector vec(PQ), its scalar components and th...

    Text Solution

    |

  3. In each of the following find the vector vec(PQ), its magnitude and di...

    Text Solution

    |

  4. In each of the following find the vector vec(PQ), its magnitude and di...

    Text Solution

    |

  5. If veca = (2,-2,1), vecb = (2,3,6) and vecc = (-1,0,2), Find the magni...

    Text Solution

    |

  6. Determine the unit vector having the direction of the given vector in ...

    Text Solution

    |

  7. Determine the unit vector having the direction of the given vector in ...

    Text Solution

    |

  8. Determine the unit vector having the direction of the given vector in ...

    Text Solution

    |

  9. Determine the unit vector having the direction of the given vector in ...

    Text Solution

    |

  10. Find the unit vector in the direction of the vector vecr1-vecr2, where...

    Text Solution

    |

  11. Find the unit vector parallel to the sum of the vectors veca = 2hati+4...

    Text Solution

    |

  12. If the sum of the two unit vectors, show that the magnitude of their d...

    Text Solution

    |

  13. The position vectors of the points A, B, C and D are 4hati+3hatj-hatk,...

    Text Solution

    |

  14. In each of the following problems, show by vector method that the give...

    Text Solution

    |

  15. In each of the following problems, show by vector method that the give...

    Text Solution

    |

  16. Prove that the vectors 2hati-hatj+hatk, hati-3hatj-5hatk, 3hati-4hatj-...

    Text Solution

    |

  17. Prove by vector method that the medians of a triangle are concurrent.

    Text Solution

    |

  18. Prove by vector method that the diagonals of a parallelogram bisect ea...

    Text Solution

    |

  19. Prove by vector method that the line segment joining the mid points of...

    Text Solution

    |

  20. Prove by vector method that the lines joining the mid points of consec...

    Text Solution

    |