Home
Class 12
MATHS
Show that the points A(1, -2, -8) B (5, ...

Show that the points A(1, -2, -8) B (5, 0, -2) and C(11, 3, 7) are collinear and find the ratio in which B divides AC.

Text Solution

Verified by Experts

The correct Answer is:
In the ratio 2 : 3
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise UNIT TEST|7 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS|27 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise ADDITIONAL QUESTIONS FOR PRACTICE 10.5|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|134 Videos

Similar Questions

Explore conceptually related problems

Show that the points (1, 2, -1), (2, 5, 1) and (0, -1, -3) are collinear.

Show that the points A(1,2,7), B(2,6,3) and C(3, 10, -1) are collinear.

i. Show that the points A(-2,3,5),B(1,2,3),C(7,0,-1) are collinear. ii. Find the ratio in which B divides line segment AC.

Show that the points A(2,3,-4) , B(1,-2,3) and C(3,8,-11) are collinear .

If the points A(-3, 9), B(a, b) and C(4, -5) are collinear and if a+b=1 , find the a and b.

If A(3,2,-4),B(5,4,-6)a n dC(9,8,-10) are three collinear points, then find the ratio in which point C divides A Bdot

Given that the points (-4,-1) (a,b) and (-2,5) are collinear and if a+2b=1 find (a,b):

Show that the point A(3,7) B(6,5) and C(5,-1) are collinear.

Consider the points A(3,2,-4),B(5,4,-6) and C(9,8,-10) . i. Find AB, BC and AC and show that A, B, C are collinear. ii. Find the ratio in which B divides AC using distance formula. iii. Verify the result using section formula.

NEW JOYTHI PUBLICATION-VECTOR ALGEBRA-SOLUTION TO EXERCISE MISCELLANEOUS EXERCISE
  1. Write down a unit vector in XY - plane making an angle of 30^(@) with ...

    Text Solution

    |

  2. Find the scalar components and magnitude of the vector joining the poi...

    Text Solution

    |

  3. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

    Text Solution

    |

  4. If veca = vec b+ vec c, then is it true that |veca| = |vec b| + |vec ...

    Text Solution

    |

  5. Find the value of x for which x (hat i + hat j + hat k) is a unit vect...

    Text Solution

    |

  6. Find a vector of magnitude 5 units, and parallel to the resultant of t...

    Text Solution

    |

  7. If vec a = hat i + hat j + hat k, vec b = 2 hat i - hat j + 3 hat k an...

    Text Solution

    |

  8. Show that the points A(1, -2, -8) B (5, 0, -2) and C(11, 3, 7) are col...

    Text Solution

    |

  9. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  10. The two adjacent sides of a parallelogram are 2 hat i - 4 hat j + 5 ha...

    Text Solution

    |

  11. Show that the direction cosines of a vector equally inclined to the ax...

    Text Solution

    |

  12. Let vec a= hat i+4 hat j+2 hat k ,\ vec b=3 hat i-2 hat j+7 hat k\ a...

    Text Solution

    |

  13. Thescalar product of the vector hat i + hat j + hat k with a unit vect...

    Text Solution

    |

  14. If vec a , vec b , vec c are mutually perpenedicular vectors of eq...

    Text Solution

    |

  15. Prove that (vec a + vec b).(vec a + vec b) = | vec a|^(2) + |vec b|^(2...

    Text Solution

    |

  16. If theta is the angle between two vectors vec a and vec b, then veca. ...

    Text Solution

    |

  17. If vec a\ a n d\ vec b be two unit vectors and theta is the angle be...

    Text Solution

    |