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 GUJARATI|Exercise EXERCISE 10.4|12 Videos

  • RELATIONS AND FUNCTIONS

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

Similar Questions

Explore conceptually related problems

Prove that the ponts A(1,2,3),B(3,4,7),C(-3 -2, -5) are collinear and find the ratio in which B divides AC.

Show that the points A(1,3,2),B(-2,0,1) and C(4,6,3) are collinear.

Show that the three points A(2, 3, 4), B(-1, 2, -3) and C(-4, 1, -10) are collinear and find the ratio in which C divides bar(AB) .

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

Show that the point A(1, -1, 3), B(2, -4, 5) and C(5, -13, 11) are collinear.

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

Prove that the points (0, -1, -7), (2, 1, -9) and (6, 5, -13) are collinear. Find the ratio in which the first point divides the join of the other two.

The points A(-2,1) , B ( 0,5) , C ( -1 , 2) are collinear.

NCERT GUJARATI-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. A vector has magnitude 5 units. It is parallel to the resultant vector...

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

    Text Solution

    |

  15. If theta is angle between two vectors vec(a) and vec(b) then vec(a).ve...

    Text Solution

    |

  16. Let vec(a) and vec(b) be two unit vectors and theta is the angle betwe...

    Text Solution

    |

  17. The value of hati.(hatjxxhatk)+hatj*(hatixxhatk)+hatk*(hatixxhatj) is

    Text Solution

    |

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

    Text Solution

    |