Home
Class 12
MATHS
If the position vectors of the points A,...

If the position vectors of the points A,B,C are
`-2bar(i)+bar(j)-bar(k), -4bar(i)+2bar(j)+2bar(k), 6bar(i)-3bar(j)-13bar(k)` respectively and `bar(AB) = lambda bar(AC)` then find the value of `lambda`.

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER

    SRISIRI PUBLICATION|Exercise Section B|49 Videos

  • QUESTION PAPER

    SRISIRI PUBLICATION|Exercise Section C|42 Videos

  • PROPERTIES OF TRIANGLES

    SRISIRI PUBLICATION|Exercise LAQ ,SAQ,VSAQ (2DHARDQ) (3DMIS.Q)|44 Videos

  • SOLVED MODEL PAPER - 4

    SRISIRI PUBLICATION|Exercise Long Answer Questions|9 Videos

Similar Questions

Explore conceptually related problems

The vectors 2bar(i)-3bar(j)+bar(k), bar(i)-2bar(j)+3bar(k), 3bar(i)+bar(j)-2bar(k)

The points whose position vectors are 2bar(i)+3bar(j)+4bar(k), 3bar(i)+4bar(j)+2bar(k) and 4bar(i)+2bar(j)+3bar(k) are the vertices of

Find the value of [bar(i)+bar(j)+bar(k),bar(i)-bar(j),bar(i)+2bar(j)-bar(k)] .

Show that the points -2bar(i)+3bar(j)+6bar(k), 6bar(i)-2bar(j)+3bar(k), 3bar(i)+6bar(j)-2bar(k) form an equilateral triangle.

Find t, for which the vectors 2bar(i) - 3bar(j) + bar(k), bar(i) + 2bar(j) -3bar(k) , bar(j) - tbar(k) are coplanar.

Find the vector area and area of the triangle with vertices bar(i) + bar(j)-bar(k), 2bar(i)- 3bar(j) + bar(k), 3 bar(i) + bar(j)- 2bar(k) .

SRISIRI PUBLICATION-QUESTION PAPER -SECTION - C
  1. If the position vectors of the points A,B,C are -2bar(i)+bar(j)-bar(...

    Text Solution

    |

  2. Find the circumcentre of the triangle whose vertices are (1,3) (-3,5) ...

    Text Solution

    |

  3. Find the orthocentre of the triangle formed by the vertices (-2,-1),(6...

    Text Solution

    |

  4. Find the orthocentre of the triangle whose sides are 7x+y-10=0, x-2y+5...

    Text Solution

    |

  5. Find the circumcentre of the triangle whose sides are given by x+y=0, ...

    Text Solution

    |

  6. If Q(h,k) is the foot of the perpendicular of P(x(1),y(1)) on the line...

    Text Solution

    |

  7. If Q(h,k) is the foot of the perpendicular of P(x(1),y(1)) on the line...

    Text Solution

    |

  8. Find the centroid and the area of the triangle formed by the lines 12x...

    Text Solution

    |

  9. If ax^2+2hxy+by^2+2gx+2fy+c=0 represents two parallel lines then prove...

    Text Solution

    |

  10. If ax^2+2hxy+by^2+2gx+2fy+c=0 represents two parallel lines then prove...

    Text Solution

    |

  11. If ax^2+2hxy+by^2+2gx+2fy+c=0 represents two parallel lines then prove...

    Text Solution

    |

  12. Find the angle between the lines joining the origin to the points of i...

    Text Solution

    |

  13. Find the value if k , if the lines joining the origin with the points ...

    Text Solution

    |

  14. Show that the lines joining the origin with the points of intersection...

    Text Solution

    |

  15. Find the condition for the chord lx + my=1 of the circle x^(2)+y^(2)=a...

    Text Solution

    |

  16. Find the angle between the lines whose d.c's are related by l + m + n ...

    Text Solution

    |

  17. Find the direction cosines of the two lines which are connected by the...

    Text Solution

    |

  18. Find the angle between the lines, whose direction cosines are given by...

    Text Solution

    |

  19. If a line makes angles alpha, beta, lambda,delta with the four diagon...

    Text Solution

    |

  20. If y=Tan^""(-1)((sqrt((1+x^(2)))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-...

    Text Solution

    |

  21. Find the derivative of (sinx)^(log x)+x^(sinx).

    Text Solution

    |