Home
Class 12
MATHS
Find the magnitude of the vector vec(PQ)...

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)

Text Solution

Verified by Experts

`vec(PQ) = (1+1)hati+(2-3)hatj = 2hati-hatj`
Scalar components of `vec(PQ)` are `2hati, -hatj`.
Magnitude of `vec(PQ) = |vec(PQ)| = sqrt5`.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

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 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)

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)

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 unit vector in the direction of 'PQ' where P and Q are the points (1,2,3) and (4,5,6).

Find the equation of the circle inscribed inside the triangle formed by the line x/4+y/3=1 and the co-ordinate axes.

MBD PUBLICATION-VECTORS-QUESTION BANK
  1. State when the equality will hold, |veca - vecb|ge|veca|-|vecb|

    Text Solution

    |

  2. What is geometrical significance of the relation |veca+vecb| = |veca-v...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |