Home
Class 12
MATHS
Show that the points A(1,-2,-8),B(5,0,-2...

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

Text Solution

Verified by Experts

The correct Answer is:
`2:3`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NCERT BANGLISH|Exercise EXERCISE 10.4|12 Videos

  • RELATIONS AND FUNCTIONS

    NCERT BANGLISH|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|19 Videos

Similar Questions

Explore conceptually related problems

Show that the points A(1,-2,-8),B(5,0,-2)a n dC(11,3,7) are collinear, and find the ratio in which B divides A Cdot

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

Show that the points (-2,3,5) ,(1,2,3) and (7,0,-1) are collinear

Show that the points P(-2,3,5) ,Q (1,2,3) and R (7,0,-1) are collinear

Given that P(3,2,-4) Q(5,4-6) and R(9,8,-10) are collinear find the ratio in which Q divides PR

The points (-2,-5), (2,-2), (8,a) are collinear, then find the value of a

Given that P (3,2,-4), Q (5,4,-6) & R (9,8,-10) are collinear. Find the ratio in which Q divides PR

The points (-2, -5), (2, -2), (8, a) are collinear, find the value of a

Using section formula, show that the points A (3 , 2 , -4) , b ( 5 , 4 , -6) and C ( 9 , 8 , -10) are collinear . Also find the ratio in which the point B divides the line-segment overline(AC) .

Show that the points A ( 3 , 2 , -4) , B ( 5 , 4 , -6) and C ( 9 , 8 , -10) are collinear. Also find the ratio in which C divides the line-segment overline(AB) .

NCERT BANGLISH-VECTOR ALGEBRA-Miscellaneous Exercise on chapter 10
  1. Write down a unit vector in XY-plane, making an angle of 30^(@) with t...

    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=vecb+vecc , then is it true that |veca|=|vecb|+|vecc|? Justify...

    Text Solution

    |

  5. Find the value of x for which x(hati+hatj+hatk) is a unit vector.

    Text Solution

    |

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

    Text Solution

    |

  7. If veca=hati+hatj+hatk,vecb=2hatj-hatj+3hatkandvecc=hati-2hatj+hatk, ...

    Text Solution

    |

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

    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 2hati-4hatj+5kandhati-2h...

    Text Solution

    |

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

    Text Solution

    |

  12. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatkandvecc=2hati-hatj+4ha...

    Text Solution

    |

  13. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

    Text Solution

    |

  14. If with reference to the right handed system of mutually perpendicular...

    Text Solution

    |

  15. Prove that (veca+vecb)*(veca+vecb)=|veca|^(2)+|vecb|^(2), if and only...

    Text Solution

    |

  16. If theta is the angle between two vectors vecaandvecb then veca*vecbge...

    Text Solution

    |

  17. Let vecaandvecb be two unit vectors and theta is the angle between the...

    Text Solution

    |

  18. The value of hati*(hatk xx hatj) + hatj*(hati xx hatk)+hatk*(hatj xx h...

    Text Solution

    |

  19. If theta is the angle between any two vectors vecaandvecb, then |veca*...

    Text Solution

    |